Abstract
Let m and k be two positive integers such that v2(m)=v2(k), where v2(⋅) denotes the 2-valuation function, and let α be a primitive element of Fp2m. Let C be a cyclic code over Fp with a parity-check polynomial h1(x)h2(x)h3(x)∈Fp2m[x], where h1(x), h2(x) and h3(x) are the minimal polynomials of α−pk+12, −α−pk+12 and α−pm+12 over Fp respectively. In this paper, we determine the weight distribution and the complete weight distribution of the code C.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.