Tables of subspace codes

D Heinlein, M Kiermaier, S Kurz… - arxiv preprint arxiv …, 2016 - arxiv.org
One of the main problems of subspace coding asks for the maximum possible cardinality of
a subspace code with minimum distance at least $ d $ over $\mathbb {F} _q^ n $, where the …

Combining subspace codes

A Cossidente, S Kurz, G Marino, F Pavese - arxiv preprint arxiv …, 2019 - arxiv.org
In the context of constant--dimension subspace codes, an important problem is to determine
the largest possible size $ A_q (n, d; k) $ of codes whose codewords are $ k $-subspaces of …

Construction of constant dimension subspace codes by modifying linkage construction

F Li - IEEE Transactions on Information Theory, 2019 - ieeexplore.ieee.org
The main problem of constant-dimension subspace coding is to construct constant-
dimension codes (CDCs) with the maximum possible cardinality. Lifting Ferrers diagram …

New constructions of subspace codes using subsets of MRD codes in several blocks

H Chen, X He, J Weng, L Xu - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
A basic problem for the constant dimension subspace coding is to determine the maximal
possible size A q (n, d, k) of a set of k-dimensional subspaces in F nq such that the subspace …

Generalized linkage construction for constant-dimension codes

D Heinlein - IEEE Transactions on Information Theory, 2020 - ieeexplore.ieee.org
A constant-dimension code (CDC) is a set of subspaces of constant dimension in a common
vector space with upper bounded pairwise intersection. We improve and generalize two …

On the lengths of divisible codes

M Kiermaier, S Kurz - IEEE Transactions on Information Theory, 2020 - ieeexplore.ieee.org
In this article, the effective lengths of all q r-divisible linear codes over F q with a non-
negative integer r are determined. For that purpose, the S q (r)-adic expansion of an integer …

New constant dimension subspace codes from parallel linkage construction and multilevel construction

Y Niu, Q Yue, D Huang - Cryptography and Communications, 2022 - Springer
A basic problem about a constant dimension subspace code is to find its maximal possible
size A q (n, d, k). In this paper, we investigate constant dimension codes with parallel linkage …

New constant dimension subspace codes from the mixed dimension construction

H Lao, H Chen, F Li, S Lyu - IEEE Transactions on Information …, 2023 - ieeexplore.ieee.org
One of the main problems of subspace coding is to determine the maximal size of a constant
dimension subspace code with given parameters. In this paper, we show that mixed …

New constant dimension subspace codes from generalized inserting construction

Y Niu, Q Yue, D Huang - IEEE Communications Letters, 2020 - ieeexplore.ieee.org
A basic problem about a constant dimension subspace code is to find its maximal possible
size A q (n, d, k). Linkage construction and inserting construction are two effective methods …

New constant dimension subspace codes from multilevel linkage construction

H Lao, H Chen - Advances in Mathematics of Communications, 2024 - aimsciences.org
One of the main problems in subspace coding is to determine the maximal possible size of a
constant dimension subspace code with given parameters. In this paper, we introduce a …