Phan Thanh Toan

collaborators

3 papers

math.RA2025

Noether's normalization in iterated skew polynomial rings

Dinh Van Hoang, Phan Thanh Toan

The classical Noether Normalization Lemma states that if $S$ is a finitely generated algebra over a field $k$ , then there exist elements $x_{1}, \dots, x_{n}$ which are algebraically ind…

math.CO2012

New Inequalities for q-ary Constant-Weight Codes

Hyun Kwang Kim, Phan Thanh Toan

Using double counting, we prove Delsarte inequalities for $q$ -ary codes and their improvements. Applying the same technique to $q$ -ary constant-weight codes, we obtain new inequali…

cs.IT2012

Improved Semidefinite Programming Bound on Sizes of Codes

Hyun Kwang Kim, Phan Thanh Toan

Let $A (n, d)$ (respectively $A (n, d, w)$ ) be the maximum possible number of codewords in a binary code (respectively binary constant-weight $w$ code) of length $n$ and minimum Hamming…