Information on Result #711405

Linear OA(569, 624, F5, 22) (dual of [624, 555, 23]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23

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.

Other Results with Identical Parameters

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(569, 481, F5, 2, 22) (dual of [(481, 2), 893, 23]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(569, 481, F5, 3, 22) (dual of [(481, 3), 1374, 23]-NRT-code) [i]
3Digital (47, 69, 481)-net over F5 [i]
4Linear OA(573, 632, F5, 23) (dual of [632, 559, 24]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(596, 663, F5, 27) (dual of [663, 567, 28]-code) [i]✔
6Linear OA(595, 660, F5, 27) (dual of [660, 565, 28]-code) [i]✔
7Linear OA(578, 637, F5, 24) (dual of [637, 559, 25]-code) [i]✔
8Linear OA(5103, 670, F5, 28) (dual of [670, 567, 29]-code) [i]✔
9Linear OA(5102, 668, F5, 28) (dual of [668, 566, 29]-code) [i]✔
10Linear OA(594, 655, F5, 27) (dual of [655, 561, 28]-code) [i]✔
11Linear OA(584, 643, F5, 25) (dual of [643, 559, 26]-code) [i]✔
12Linear OA(577, 632, F5, 24) (dual of [632, 555, 25]-code) [i]✔
13Linear OA(582, 637, F5, 25) (dual of [637, 555, 26]-code) [i]✔
14Linear OA(5108, 663, F5, 31) (dual of [663, 555, 32]-code) [i]✔
15Linear OA(5107, 660, F5, 31) (dual of [660, 553, 32]-code) [i]✔
16Linear OA(5114, 668, F5, 32) (dual of [668, 554, 33]-code) [i]✔
17Linear OA(5118, 672, F5, 33) (dual of [672, 554, 34]-code) [i]✔
18Linear OA(5125, 679, F5, 34) (dual of [679, 554, 35]-code) [i]✔
19Linear OA(5123, 672, F5, 34) (dual of [672, 549, 35]-code) [i]✔
20Linear OA(5131, 680, F5, 35) (dual of [680, 549, 36]-code) [i]✔
21Linear OA(5131, 682, F5, 35) (dual of [682, 551, 36]-code) [i]✔
22Linear OA(5130, 679, F5, 35) (dual of [679, 549, 36]-code) [i]✔