Information on Result #736652

Linear OA(547, 62, F5, 30) (dual of [62, 15, 31]-code), using a cyclic, quasi-cyclic, or quasi-twisted code by Daskalov, Hristov, and Metodieva

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(547, 62, F5, 29) (dual of [62, 15, 30]-code) [i]Strength Reduction
2Linear OA(547, 62, F5, 28) (dual of [62, 15, 29]-code) [i]
3Linear OA(548, 63, F5, 30) (dual of [63, 15, 31]-code) [i]Code Embedding in Larger Space
4Linear OA(549, 64, F5, 30) (dual of [64, 15, 31]-code) [i]
5Linear OA(546, 61, F5, 29) (dual of [61, 15, 30]-code) [i]Truncation
6Linear OA(545, 60, F5, 28) (dual of [60, 15, 29]-code) [i]
7Linear OA(544, 59, F5, 27) (dual of [59, 15, 28]-code) [i]
8Linear OA(543, 58, F5, 26) (dual of [58, 15, 27]-code) [i]
9Linear OA(542, 57, F5, 25) (dual of [57, 15, 26]-code) [i]
10Linear OA(541, 56, F5, 24) (dual of [56, 15, 25]-code) [i]
11Linear OA(540, 55, F5, 23) (dual of [55, 15, 24]-code) [i]
12Linear OA(539, 54, F5, 22) (dual of [54, 15, 23]-code) [i]
13Linear OA(551, 67, F5, 30) (dual of [67, 16, 31]-code) [i]Construction X with VarÅ¡amov Bound
14Linear OA(552, 69, F5, 30) (dual of [69, 17, 31]-code) [i]
15Linear OOA(547, 31, F5, 2, 30) (dual of [(31, 2), 15, 31]-NRT-code) [i]OOA Folding