Short additive quaternary codes

J Bierbrauer, Y Edel, G Faina… - IEEE transactions on …, 2009 - ieeexplore.ieee.org
codes. Definition 3: Let be the additive quaternary code described by the set of all lines in …
Brouwer [1] determine the optimal code parameters for additive quaternary codes of length …

Combinatorial constructions of optimal quaternary additive codes

C Guan, J Lv, G Luo, Z Ma - IEEE Transactions on Information …, 2024 - ieeexplore.ieee.org
quaternary additive codes with non-integer dimensions. Firstly, we propose combinatorial
constructions of quaternary additive constantweight codesquaternary additive codes with short

Some quaternary additive codes outperform linear counterparts

C Guan, R Li, Y Liu, Z Ma - IEEE Transactions on Information …, 2023 - ieeexplore.ieee.org
… of optimal quaternary additive 3.5-dimensional codes with … additive complementary dual
codes with larger distances than the best-known quaternary linear complementary dual codes

[HTML][HTML] Small additive quaternary codes

A Blokhuis, AE Brouwer - European Journal of Combinatorics, 2004 - Elsevier
… If some vertex M i occurs in some edge E j other than E i and E i+1 , then we find a shorter
bad circuit. If some edge E j contains a line M other than M j and M j−1 , then make the quotient …

Optimal additive quaternary codes of low dimension

J Bierbrauer, S Marcugini… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
… of a link to quantum stabilizer codes, see [2]–[4]. We will also use the geometric description
of additive quaternary codes. In fact, a quaternary [n, k, d]code is equivalent to a multiset of n …

Additive complementary dual codes from group characters

ST Dougherty, S Şahinkaya… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
… (ACD for short) in this paper. We give some matrix constructions for quaternary ACD codes
and we also construct an algorithm to determine if a given additive code is ACD with respect …

Quaternary constant-amplitude codes for multicode CDMA

KU Schmidt - IEEE transactions on information theory, 2009 - ieeexplore.ieee.org
… Second, binary constant-amplitude codes cannot exist for … is odd (we will see that quaternary
codes indeed do). In [20] the … We will begin this section with a short review of symmetric …

Quaternary quadratic residue codes and unimodular lattices

A Bonnecaze, P Solé… - IEEE Transactions on …, 1995 - ieeexplore.ieee.org
QUATERNARY CODES By a quaternary code C of length N we shall mean a linear block
code over 24, that is an additive subgroup of Z?. We define an inner product on 22 by (a, b) = …

[HTML][HTML] The nonexistence of an additive quaternary [15, 5, 9]-code

J Bierbrauer, D Bartoli, G Faina, S Marcugini… - Finite Fields and Their …, 2015 - Elsevier
… In the sequel we restrict to the case of quaternary additive codes and write [ n , k , d ] for [ n ,
k , d ] 4 . The quaternary case is of special interest, among … Short additive quaternary codes

ℤ₂ℤ₄-Additive Quasi-Cyclic Codes

M Shi, S Li, P Solé - IEEE Transactions on Information Theory, 2021 - ieeexplore.ieee.org
… that decomposes such codes into constituent codes, which are shorter codes over larger …
made taking the binary zeros and ones in xi and yi as quaternary zeros and ones. We call it …