Sums of Gauss sums and weights of irreducible codes
Copyright policy )Sums of Gauss sums and weights of irreducible codes
This paper develops a matrix approach to compute a certain sum of Gauss sums that arises in the study of weights of irreducible codes. The authors have further derived a lower bound on the minimum weight of certain irreducible codes. Though the studies made have been restricted to binary codes, however, the methods of this paper applies to codes of odd characteristic. The paper concludes with a conjecture on minimal weight of the code.
- Northwestern University United States
- Southern Illinois University Carbondale United States
- Northern Illinois University United States
- Southern Illinois University at Carbondale United States
Other character sums and Gauss sums, Gauss sums, Algebra and Number Theory, Applied Mathematics, Algebraic coding theory; cryptography (number-theoretic aspects), codes, Codes, Theoretical Computer Science, Bounds on codes, Weights, Number Theory, weights, irreducible codes, Mathematics, Engineering(all), Geometric methods (including applications of algebraic geometry) applied to coding theory
Other character sums and Gauss sums, Gauss sums, Algebra and Number Theory, Applied Mathematics, Algebraic coding theory; cryptography (number-theoretic aspects), codes, Codes, Theoretical Computer Science, Bounds on codes, Weights, Number Theory, weights, irreducible codes, Mathematics, Engineering(all), Geometric methods (including applications of algebraic geometry) applied to coding theory
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