This site is supported by donations to The OEIS Foundation.

 Annual appeal: Please make a donation to keep the OEIS running! Over 6000 articles have referenced us, often saying "we discovered this result with the help of the OEIS". Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A076710 Weight distribution of [137,69,21] binary quadratic-residue (or QR) code. 0
 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 51238, 270164, 409904, 1947044, 4057118, 17476816, 99448300, 390689750, 1445284240, 5203023264, 18055712240, 59809546795, 189973513945, 581095454420, 1709208146190 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,22 COMMENTS Taken from the Tjhai-Tomlinson web site. According to Boston and Hao, the Tjhai-Tomlinson web site gives several erroneous values, but their article with Ambroze and Ahmed has correct values. - Eric M. Schmidt, Nov 17 2017 LINKS Nigel Boston and Jing Hao, The Weight Distribution of Quasi-quadratic Residue Codes, arXiv:1705.06413 [cs.IT], 2017. C. J. Tjhai and Martin Tomlinson, Weight Distributions of Quadratic Residue and Quadratic Double Circulant Codes over GF(2) [dead link] C. Tjhai, M. Tomlinson, M. Ambroze, M. Ahmed, On the Weight Distribution of the Extended Quadratic Residue Code of Prime 137, arXiv:0801.3926 [cs.IT], 2008. EXAMPLE The weight distribution is: i A_i 0 1 21 51238 22 270164 23 409904 24 1947044 25 4057118 26 17476816 27 99448300 28 390689750 29 1445284240 30 5203023264 31 18055712240 32 59809546795 33 189973513945 34 581095454420 35 1709208146190 36 4842756414205 37 13221982102853 38 34794689744350 39 88328700833460 40 216405317041977 41 511980845799941 42 1170241933257008 43 2585374360137184 44 5523299769383984 45 11414864729214318 46 22829729458428636 47 44202380361406672 48 82879463177637510 49 150535995889831600 50 264943352766103616 51 451961780387038844 52 747475252178564242 53 1198781830242451728 54 1864771735932702688 55 2814110491202421488 56 4120661790689260036 57 5855675469990794812 58 8076793751711441120 59 10814690610004223000 60 14059097793005489900 61 17746731937729182608 62 21754058504313191584 63 25897686719588958304 64 29944200269524733039 65 33629639551783390742 66 36686879511036426264 67 38877142978140092004 68 40020588359850094710 69 40020588359850094710 70 38877142978140092004 71 36686879511036426264 72 33629639551783390742 73 29944200269524733039 74 25897686719588958304 75 21754058504313191584 76 17746731937729182608 77 14059097793005489900 78 10814690610004223000 79 8076793751711441120 80 5855675469990794812 81 4120661790689260036 82 2814110491202421488 83 1864771735932702688 84 1198781830242451728 85 747475252178564242 86 451961780387038844 87 264943352766103616 88 150535995889831600 89 82879463177637510 90 44202380361406672 91 22829729458428636 92 11414864729214318 93 5523299769383984 94 2585374360137184 95 1170241933257008 96 511980845799941 97 216405317041977 98 88328700833460 99 34794689744350 100 13221982102853 101 4842756414205 102 1709208146190 103 581095454420 104 189973513945 105 59809546795 106 18055712240 107 5203023264 108 1445284240 109 390689750 110 99448300 111 17476816 112 4057118 113 1947044 114 409904 115 270164 116 51238 137 1 CROSSREFS Sequence in context: A252207 A206236 A233901 * A203405 A152512 A203354 Adjacent sequences:  A076707 A076708 A076709 * A076711 A076712 A076713 KEYWORD nonn,fini,changed AUTHOR N. J. A. Sloane, Apr 14 2009 EXTENSIONS Corrected (using the Tjhai et al. arXiv article) by Eric M. Schmidt, Nov 17 2017 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified November 20 04:05 EST 2017. Contains 294959 sequences.