# Binary linear sum-rank-metric codes constructed from additive quaternary codes

This page lists some tables of  the dimensions of the linear sum-rank-metric codes with various lengths   and the matrix size 2\*2 from two additive quaternary codes. For the constructions of SRM codes, we refer to the following references.

1. M. Grassl, <http://www.codetables.de>.
2. C. Guan, R. Li, Y. Liu and Z. Ma, Some quaternary additive codes outperform linear counterparts,  IEEE Transactions on Information Theory, vol. 69, no. 11, pp. 7122-7131, 2023.

#### 1. The dimensions of binary linear sum-rank-metric codes constrcuted from \[1] and \[2]  with matrix size 2\*2.

<table><thead><tr><th width="142">Block length</th><th width="141">d_sr</th><th>dimension([1])</th><th>dimension([2])</th></tr></thead><tbody><tr><td>29</td><td>21</td><td>2*(3+15)</td><td>2*(3.5+15)</td></tr><tr><td>31</td><td>23</td><td>2*(3+15)</td><td>2*(3.5+15)</td></tr><tr><td>32</td><td>24</td><td>2*(3+15)</td><td>2*(3.5+15)</td></tr><tr><td>127</td><td>95</td><td>2*(4+32)</td><td>2*(4.5+32)</td></tr><tr><td>128</td><td>96</td><td>2*(4+33)</td><td>2*(4.5+33)</td></tr></tbody></table>