Back to Search
Start Over
The weight distribution of a family of p-ary cyclic codes.
- Source :
- Designs, Codes & Cryptography; May2015, Vol. 75 Issue 2, p263-275, 13p
- Publication Year :
- 2015
-
Abstract
- Let p be an odd prime, and m and k be two positive integers with m/gcd(m,k) being odd. This paper determines the weight distribution of a family of p-ary cyclic codes over F<subscript>p</subscript> whose duals have three zeros α<superscript>-2</superscript>, α<superscript>-(p{2k+1)</superscript> and α<superscript>-(p4k+1)</superscript>, where α is a primitive element of F<subscript>p</subscript>m. [ABSTRACT FROM AUTHOR]
- Subjects :
- EXPONENTIAL sums
QUADRATIC forms
CYCLIC codes
HAMMING weight
ERROR probability
Subjects
Details
- Language :
- English
- ISSN :
- 09251022
- Volume :
- 75
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Designs, Codes & Cryptography
- Publication Type :
- Academic Journal
- Accession number :
- 101761974
- Full Text :
- https://doi.org/10.1007/s10623-013-9908-2