3 papers
math.CO2026
The generalized Griesmer and antiGriesmer bounds
Haihua Deng
We present three proofs of the generalized Griesmer bound together with the corresponding proofs of the generalized antiGriesmer bound. The first proof follows from inequalities re…
math.CO2026
Divisibility of Trace Codes
Hexiang Huang, Haihua Deng, Sihuang Hu
A linear code is said to be -divisible if the Hamming weights of all its codewords are divisible by . The -adic valuation of a code is defined as the greatest integer $t…
math.CO2025
Divisibility of Griesmer Codes
Haihua Deng, Hexiang Huang, Qing Xiang
In this paper, we consider Griesmer codes, namely those linear codes meeting the Griesmer bound. Let be an Griesmer code with , where is a prime and $f\g…