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Common terms and phrases4-tuples algorithm basis BCH code binary code binary cyclic codes binary vectors called code of length codewords coefficients compute consider construct contain coordinate positions Corollary coset leader cyclic shift cyclotomic cosets decoding scheme defined denote dimension divides double-error-correcting doubly-even equations equivalent errors example f-design factor field F finite field g-value GF(p give Gleason polynomials Golay code Hamming code Hence idempotent integers irreducible polynomial Kmod Lemma linear code matrix H minimal polynomial minimum weight modulo monic multiplication nonzero elements number of vectors octad orthogonal parity check matrix permutation polynomial g(x polynomial of degree power moments Problem Proof QR code quadratic residue received vector reciprocal polynomial Reed-Muller codes roots rows of G self-dual code self-orthogonal set of vectors smallest solution Steiner system subspace Suppose syndrome Table ternary Theorem unique vector space vectors of weight weight distribution weight enumerator winning positions Z4 codes zero References to this bookFrom other books
From Google ScholarCharacterization of Minimum Aberration 2n-k Designs in Terms of ...Boxin Tang, CFJ Wu - 1996 - The Annals of Statistics Some Identities on qn-m Designs with Application to Minimum ...Chung-yi Suen, Hegang Chen, CFJ Wu - 1997 - The Annals of Statistics Universal Bounds for Codes and DesignsVladimir Levenshtein References from web pagesJSTOR: Introduction to the Theory of Error-Correcting Codes Feature Column from the AMS Existence of certain extremal self-dual codes - Information Theory ... Math 810 Error-Correcting Codes Joseph Malkevitch: Error Correcting Code Bibliography Error Correcting Codes MATH 406/806 Michael E. O'Sullivan: Coding Theory Literatur zur Informations- und Codierungstheorie Coding Theory Bibliographic information
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