扩频通信附录

1、附录1 Euler 函数的计算设n1且为正整数，用(n)表示1n-1中所有和n互素数的个数，那么这 样定义的函数(n)称为Euler 函数。例如，当n=63时，162中，和63互素的 数有2, 4，5, 8，10，11，13，16，17，19, 20，22, 23, 25, 26, 29，31, 32，34, 37， 38, 40, 41, 43, 44, 46, 47, 50, 52, 53, 55, 57, 58, 59, 61, 62 162中和63互素数的个数为36,所以(63)=36。下面给出Euler 函数的计算公式。设n为1正整数，且k(1)in = qii 4式中：qi为n的第

2、i个素因子，:i是一正整数，那么2例如,n=63=7 X 9=7X 3 , q1=7, 1=1, q2=3, ： 2=2 (63)=71-1 X (7-1)X 32-1 X (3-1)=1 X 6X 3X 2=36。附录2次数为r W6的不可约多项式r=217Hr=3113Fr=4123F337D507r=5145E375G567Hr=61103F3127B5147H7111A901511155E21007r=71211E3217E5235E7367H9277E11325G13203F19313H21345Gr=81435E3567B5763B7551E9675C11747H13453F157

3、27D1702319545E21613D23543F25433B27477B37537F43703H45471A5103785007r=911021E31131E51461G71231A91423G111055E131167F151541E171333F191605G211027A231751E251743H271617H291553H351041C371157F391715E411563H431713H451175E511725G531225E551275E730013751773G771511C831425G851267Er=1012011E32017B52415E73771G92257B

4、112065A132157F152653B173515G192773F213753D232033F252443F273573D292461E313043D330075353023H373543F392107B412745E432431E453061C473177H493525D512547B532617F553453D573121Cr=10 （续）593471G692701A713323H733507H752437B852707E872311A892327F913265G933777D9900671012055E1033575G1053607C1073171G1092047F1472355A1

5、493025G1552251A16500511713315C1733337H1793211G3410007r=1114005E34445E54215E74055E96015G117413H134143F154563F174053F195023F215623F234757B254577F276233H296673H317237H337335G354505E375337F395263F415361E435171E456637H477173H495711E515221E536307H556211G575747F594533F614341F676711G696777D717715G736343H756

6、227H776263H795235E817431G836455G855247F875265E895343B914767F935607F994603F1016561G1037107H1057041G1074251E1095675E1114173F1134707F1157311C1175463F1195755E1376675G1397655G1415531E1477243H1497621G1517161G1534731E1554451E1576557H1637745G1657317H1675205E1694565E1716765G1737535G1794653F1815411E1835545E18

7、57565G1996543H2015613F2036013H2057647H2116507H2136037H2157363H2177201G2197273H2937723H2994303B3015007F3077555G3094261E3316447H3335141E3397461G3415253Fr=12110123F312133B510115A712153B911765A1115647E1312513B1513077B1716533H1916047H2110065A2311015E2513377B2714405A2914127H3117673H3313311A3510377B3713565

8、E3913321A4115341G4315053H4515173C4715621E4917703C5110355A5315321G5510201A5712331A5911417E6113505E6310761A65001416713275E6916663C7111471E7316237E7516267D7715115C7912515E8117545C8312255E8511673B8717361A8911271E9110011A9314755C9517705A9717121G9917323D10114227H10312117E10513617A10714135G10914711G1111541

9、5C11313131E11513223A11716475C11914315C12116521E12313475A13311433B13510571A13715437G13912067F14113571A14312111A14516535C14717657D14912147F15114717F15313517B15514241C15714675G16310663F16510621A16716115G16916547C17110213B17312247E17516757D17716017C17917675E18110151E18314111A18514037A18714613H18913535A1

10、950016519711441E19910321E20114067D20313157B20911067F21114433F21316457D21510653B21713563Br=12 （续）21911657B22117513C22712753F22913431E23110167B23311313F23511411A23713737B23913425E2730002327514601C27716021G27916137D28117025G28315723F28517141A29115775A29311477F29511463B29717073C29916401C30112315A3071422

11、1E30911763B31112705E31314357F31517777D3250016332717233D32911637B33116407F33311703A33916003C34111561E34312673B34514537D34717711G34913701E35510467B35715347C35911075E36116363F36311045A36511265A37114043D39712727F40314373D40513003B40717057G40910438F41110077B42114271G42314313D42514155C42710245A42911073B43

12、510743B43712623F43912007F44115353D455001115850001358714545G58916311G59513413A59712265A60314411C61315413H61917147F66110605E68310737F69115701G69312345A69516355C7150013371716571C81900037136500007r=13120033F323261E524623F723517F930741G1121643F1330171G1521277F1727777F1935051G2134723H2334047H2532535G27314

13、25G2937505G3136515G3326077F3535673H3720635E3933763H4125745E4336575G4526653F4721133F4922441E5130417H5332517H5537335G5725327F5923231E6125511E6326533F6533343H6733727H6927271E7125017F7326041E7521103F7727263F7924513F8132311G8331743H8524037F8730711G8932641G9124657F9332437H9520213F9725633F9931303H10122525E

14、10334627H10525775E10721607F10925363F11127217F11333741G11537611G11723077F11921263F12131011G12327051E12535477H13134151G13327405E13534641G13732445G13936375G14122675E14336073H14535121G14736501G14933057H15136403H15335567H15523167H15736717H15922233F16132333H16324703F16533163H16732757H16923761E17124031E173

15、30025G17537145G17731327H17927221E18125577F18322203F18537437H18727537F18931035G19524763F19720243E19920503F20120761E20325555E20530357H20733037H20934401G21132715G21321447F21527421E21720363F21933501G22120425E22332347H22520677F22722307F22933441G23133643H23324165E23527427E23724601E23936721G24134363H243216

16、73F24532167H24721661E26533357H26726341E26931653H27137511G27323003F27522657F27725035E27923267F28134005G28334555G28524205E29126611E29332671G29525245E29731407H29933471G30122613F30335645G30532371Gr=13 （续）30734517H30926225E31135561G31325663F31524043F31730643H32320157H32537151G32724667F32933325G33132467H3

17、3330667H33522631E33726617F33920275E34136625G34320341E34537527H34731333H34931071G35523353F35726245F35921453F36136015G36336667H36534767H36734341G36934547H37135465G37324421E37523563F37736037H39131267H39327133F39530705G39730465G39935315G40132231G40332207H40526101E40722567F40921755E41122455E41333705G4193

18、7621G42121405E42330117H42523021E42721525E42936465G43133013H43327531E43524675E43733133H43934261G44133405G44334655G45332173H45533455G45735165G45922705E46137123H46327111E46535455G46731457H46923055E47130777H47337653H47524325E47731251G54735163H54933433H55137243H55327515E55532137H55726743F56330277H5652052

19、7F56735057H56924315E57124727F58130331G58334273H58523207F58731113F58936023H59527373F59720737F59936235G60121575E60326215E60521211E61120311E61334003H61534027H61720065E61922051E62122127F62723621E62924465E65126457F65331201G65934035G66127227F66322561E66521615E66722013F66923365E67526213F67726775E67932635G6

20、8133631G68332743H68531767H69134413H69322037F69530651G69726565E71122141E71322471E71535271G71737445G72322717F72526505E72724411E72924575E73123707F73325173F73921367F74125161E74324147F79336307H79524417F80520237F80736771G80937327H81127735E81331223H81936373H82133121G82332751G82533523H83926415E84123737F8432

21、5425E84534603H85131047H85337305G85521315E85735777H85920571E87130301G87334757H87521067F87725151E117127513F117333721G117934775G118923571E119527411E119720457F120321557F120530177H122726347F122927477F123534243H123727235E132325175E132531231G133131131G133325503F135533045G135724253F136335351G136526053Fr=141

22、42103F340547B543333E751761E954055A1140503F1377141G1547645A1762677G1944103F2146425A2345145E2576303G2767603D2964457G3157231E3352737B3564167F3760153F3962115C4155753F4372427D4564715A4770423H4947153F5167653D5353255E5541753F5774247D5940725E6142667F6365301A6567517H6745653F6972501C7111471E7316237E7516267D77

23、15115Cr=14 （续）7912515E8117545C8312255E8511673B8717361A8911271E9110011A9314755C9517705A9717121G9917323D10114227H10312117H10513617A10765551G10943017F11162125A11371073E11567333H11770677C11952215E12144177F12370535C12546327F12771747D1290020313161335G13343161E13546047B13760645G13940317F14147727A14365001G1

24、4554335E14776175C14965153H15150351E15342711A15541625E15744435E15941163A16147667F16341441E16554175A16745713F16975267H17172051C17364223H17542337F17751275A17965155E18163015E18357521A18567175H18750661E18941735A19150645E19372433F19547043B19765133H19953543F20162431A20342777F20547203F20746605A20964377H2117

25、3725G21343611A21542301A21751145E21944307B22173647H22374427H22553747A22745511E22942637F23161117D23340363E23575201G23763155C23972717G24156557F24375363D24570553F24766675G24955501A25160263H26153043B26375303F26574315E26766031A26962505G27160057H27354473A27560253F27745671E27971525C28161443E28364635G2856447

26、5C28767401G28944203F29150343A29377747H29554101E29765645A29941177F30165661A30342361A30543047F30745563F30950717A31153233E31367101G31562251C31764251E32340635E32546113E32744367B32940665E33163331G33371545A33573107H33742727F33943775A34165667E34361677H34553525A34752723F34942323F35141433B35343173E35546305E3

27、5745663B35971315E36144031E36373457B36552577E36752621E36940063B37152027F37345021E37577001C37964035G38152225A3870025338960765G39166545G39371323A39562767G39773137H39940145A40163265G40347551E40571711C40740353F40976055G41170065C41373527F41567201B41743723B41961251E42147357F42362261C42550575E42761267H42940

28、511A43171721G43365121G43561053D43745371E43954627E44177703A44365057H44576225E45173071G45352553B45560025E45760471G45953513B46167303H46342763F46552261A46753657F46975443F47167267D47353373B47565165E47744037B47954737F48161175E48365031A48551107E48757627F48957251A49144073F49345761E49563463C52965277F53155247

29、B53356171E53563513H53743377B53945641E54163327H54754243F54962055C55153061E55346321E55551431A55771147H55964053D56141551A56375521E56546701E56755763B56956463F57177057G57341105Ar=14 （续）57941171A58141307F58370425E58574117D58750135E58967737H59147615A59353057F59555103F59754443B59953051E60161555G60364157D605

30、57407F61164653F61365513H61573603D61747525E61955165E62164215C62376377H62557365E62750557B62945725E63171301G63356465A63551745A6450021764747233F64953015E65153361A65346215E65550613E65777711C65946565E66144141E66355771A66571263G66741315E66962225C67551565A67776267H67962467H68164003C68371645G68576223G6875267

31、2A68970665G69145773F69364033D69545533E69750007E71570461G71747513B71965575E72156435E72367157C72571403G72746107F72965007A73150667B73355331E73952017F74151317B74366163F74570767G74770215C74976401G75163043H75363753D75543317F78177031G78345617B78552603F78757503F78963667D79175761G79360075G79572307B79751633F8

32、0357475E80561533G80760561C80953575E81162027H81364633C81567123F81743445A81973655C82154003F82362347F82563271C82771337F83757715A83954635E84146505E84364407C84557017E84754751E84942417A85157033F85354077F85542567B85750455E85962533H86142411A86774133D86972441G81743577F87352353B87555325E87767527G87975605C8815

33、2467F88361757F88566105C88751261E88962723D9030037590563537H90752457E90944735A91162413H91351671E91541001A91770773H91956031E92150227D92371345G92546125E93140655E93344221A93555323F93776005E93955435A94142531E94362671E94574277D94764617G94952137F95156637B95347753F95546773F109372155G109556067A109763007E10994

34、7111E110154021A110744523B110954257F111163567H111343215A111573665G111745335E112344147E112562731C112741657F112977235G113165643B113351055E113947637F114140071E114347771A116100271116357541E116557107E117161621G117351511A117557201E117770251G117943633B118153315E118744343F118965705E119140413B119364641E119544

35、567E119746451A120360241C120565705E120771117H120966703D121153477F122145355A122374531G122574607H122771763C122976707H123560235G123747673F123954321A124175571G124377515G124557611A125155643B125346175E125574357H125770267D125946461E130177345G130351243F130576151C130756061E130966427G131554517F131772465C131950

36、733F132174045G132371057D132573143F133151231E133370201C133577631C133764021G135172643H135341777B135571675G135763073H136347537Er=14 （续）136561261A136765227H136955073F137177727B137361363H137943701E138165147H138352267B138563153F138772337G138956607A139540371A139742721A141900211142175273F142773555G142967225

37、G143176617C143374711E143550325E143770713C144372513D144557737F144761333G144940327A145155111E145340633F145961641G146165315C146343647F146567621G147962745C148141755E148365727F148574263D158741573B158955631E159166405A159360121C160772615E160977615G161141447B161346437F161970633H162165615G162364605C162555075

38、E162773151G163775033H163957327F164166277D164356007F164555703F165177277D167700345168357743A168542645E168750045E168974255C169153623E170150477B170352071E170561237H170767533B170955417F171545173E171761461G171943731A172156717E173554041E173744613A173970341G174152065E174756345E174944441A175176663H175350777F

39、175570443D234155471E234753727F234965637C235557143B235744741E237967627D238177177G238751213E238970273H239562101G240550241E241165263H241341241A245100357245376047H245975723F246973145C247561377D247741357E264356421A264576213H266764213D270900313273141235E273367605C273944537B274176505G276365375C276550721E27

40、7175517H286166357G286747121E546100007r=151100003F3102043F5110013F7125253B9102067F11104307F13100317F15177775E17103451E19110075E21127701A23102061E25114725E27103251E29163005G31103437A33112611E35137733B37120265E39117423F41106341E43116007H45174003E47113337E49125263B51126007E53105257E55114467E57177207G591

41、47047F61111511E63127635A65114633E67133663F69102171E71170465G73131427E75161615E77136143A79115155E81123067F83102561E85170057H87125235E89173117E91125747B93124677B95134531E97125507F99171737G101152417F103142305G105146255C107120043F109136173F111122231E113164705G115177757F117146637E119177535C121102643F123103145E125112751E127151537G129115135E131137067E133122707A135174443E137100541E139112273F14114