V. Sison

activity

20152021

most citedGrassmannian Codes as Lifts of Matrix Codes Derived as Images of Linear Block Codes over Finite Fields

2 citations · 2 across the 5 of their papers we have counts for

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cs.IT2021

Quaternions over Galois rings and their codes

Pierre Lance Tan, Virgilio Sison

It is shown in this paper that, if $R$ is a Frobenius ring, then the quaternion ring $H_{a, b} (R)$ is a Frobenius ring for all units $a, b \in R$ . In particular, if $q$ is…

cs.IT2021

One-Sided $k$ -Orthogonal Matrices Over Finite Semi-Local Rings And Their Codes

Virgilio P. Sison, Charles R. Repizo

Let $R$ be a finite commutative ring with unity $1_{R}$ and $k \in R$ . Properties of one-sided $k$ -orthogonal $n \times n$ matrices over $R$ are presented. When $k$ is idempotent, th…

cs.IT2017

Isometries and Binary Images of Linear Block Codes over $Z_{4} + u Z_{4}$ and $Z_{8} + u Z_{8}$

Virgilio P. Sison, Monica N. Remillion

Let $F_{2}$ be the binary field and $Z_{2^{r}}$ the residue class ring of integers modulo $2^{r}$ , where $r$ is a positive integer. For the finite $16$ -element commutative local Frobeniu…

cs.IT2017

Composition of Gray Isometries

Sierra Marie M. Lauresta, Virgilio P. Sison

In classical coding theory, Gray isometries are usually defined as mappings between finite Frobenius rings, which include the ring $Z_{m}$ of integers modulo $m$ , and the finite fiel…

cs.IT2015

Matrix Codes as Ideals for Grassmannian Codes and their Weight Properties

Bryan Hernandez, Virgilio Sison

A systematic way of constructing Grassmannian codes endowed with the subspace distance as lifts of matrix codes over the prime field $GF (p)$ is introduced. The matrix codes are $GF…

cs.IT2015★ 2 cited

Grassmannian Codes as Lifts of Matrix Codes Derived as Images of Linear Block Codes over Finite Fields