Weight distributions of some irreducible cyclic codes
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- by Robert Segal and Robert L. Ward PDF
- Math. Comp. 46 (1986), 341-354 Request permission
Abstract:
The theory of weight distributions of irreducible cyclic codes over a finite field has been extensively developed by R. J. McEliece and others. We apply that theory to compute the weight enumerators of some binary codes which have hitherto not been possible. In so doing, we correct an error by McEliece and describe his process in somewhat more detail.References
- L. D. Baumert and R. J. McEliece, Weights of irreducible cyclic codes, Information and Control 20 (1972), 158–175. MR 497284
- Jessie MacWilliams and Judith Seery, The weight distributions of some minimal cyclic codes, IEEE Trans. Inform. Theory 27 (1981), no. 6, 796–806. MR 650721, DOI 10.1109/TIT.1981.1056420
- Edwin Weiss, Algebraic number theory, McGraw-Hill Book Co., Inc., New York-San Francisco-Toronto-London, 1963. MR 0159805
Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Math. Comp. 46 (1986), 341-354
- MSC: Primary 94B15; Secondary 11T71
- DOI: https://doi.org/10.1090/S0025-5718-1986-0815855-7
- MathSciNet review: 815855