Information on Result #736230

Linear OA(413, 70, F4, 6) (dual of [70, 57, 7]-code), using generator matrices provided on Edel’s homepage

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(414, 71, F4, 6) (dual of [71, 57, 7]-code) [i]Code Embedding in Larger Space
2Linear OA(415, 75, F4, 6) (dual of [75, 60, 7]-code) [i]VarÅ¡amov–Edel Lengthening
3Linear OA(4212, 4194375, F4, 24) (dual of [4194375, 4194163, 25]-code) [i]Construction X with Cyclic Codes
4Linear OA(4254, 1048647, F4, 32) (dual of [1048647, 1048393, 33]-code) [i]
5Linear OA(4194, 1048647, F4, 24) (dual of [1048647, 1048453, 25]-code) [i]
6Linear OA(4256, 4194372, F4, 30) (dual of [4194372, 4194116, 31]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
7Linear OA(4245, 4194372, F4, 29) (dual of [4194372, 4194127, 30]-code) [i]
8Linear OA(4223, 4194372, F4, 26) (dual of [4194372, 4194149, 27]-code) [i]
9Linear OA(4212, 4194372, F4, 25) (dual of [4194372, 4194160, 26]-code) [i]
10Linear OA(4190, 4194372, F4, 22) (dual of [4194372, 4194182, 23]-code) [i]
11Linear OA(4179, 4194372, F4, 21) (dual of [4194372, 4194193, 22]-code) [i]
12Linear OA(4245, 4194374, F4, 28) (dual of [4194374, 4194129, 29]-code) [i]
13Linear OA(4179, 4194374, F4, 20) (dual of [4194374, 4194195, 21]-code) [i]
14Linear OA(4224, 1048646, F4, 28) (dual of [1048646, 1048422, 29]-code) [i]
15Linear OA(4164, 1048646, F4, 20) (dual of [1048646, 1048482, 21]-code) [i]
16Linear OA(415, 73, F4, 6) (dual of [73, 58, 7]-code) [i]Construction X with VarÅ¡amov Bound
17Linear OOA(413, 35, F4, 2, 6) (dual of [(35, 2), 57, 7]-NRT-code) [i]OOA Folding
18Linear OOA(413, 23, F4, 3, 6) (dual of [(23, 3), 56, 7]-NRT-code) [i]