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Two classes of two-weight linear codes over finite fields.
- Source :
- AIMS Mathematics (2473-6988); 2023, Vol. 8 Issue 7, p1-15, 15p
- Publication Year :
- 2023
-
Abstract
- Let p ≡ 1 (mod 4) be a prime, m a positive integer, ϕ (p m) 2 the multiplicative order of 2 modulo p m , and let q = 2 ϕ (p m) 2 , where ϕ (⋅) is the Euler's function. In this paper, we construct two classes of linear codes over F q and investigate their weight distributions. By calculating two classes of special exponential sums, the desired results are obtained. Let be a prime, a positive integer, the multiplicative order of modulo , and let , where is the Euler's function. In this paper, we construct two classes of linear codes over and investigate their weight distributions. By calculating two classes of special exponential sums, the desired results are obtained. [ABSTRACT FROM AUTHOR]
- Subjects :
- LINEAR codes
EXPONENTIAL sums
INTEGERS
FINITE fields
Subjects
Details
- Language :
- English
- ISSN :
- 24736988
- Volume :
- 8
- Issue :
- 7
- Database :
- Complementary Index
- Journal :
- AIMS Mathematics (2473-6988)
- Publication Type :
- Academic Journal
- Accession number :
- 163931318
- Full Text :
- https://doi.org/10.3934/math.2023783