Information on Result #711450

Linear OA(573, 624, F5, 23) (dual of [624, 551, 24]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24

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(573, 527, F5, 2, 23) (dual of [(527, 2), 981, 24]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(573, 527, F5, 3, 23) (dual of [(527, 3), 1508, 24]-NRT-code) [i]
3Digital (50, 73, 527)-net over F5 [i]
4Linear OA(583, 642, F5, 25) (dual of [642, 559, 26]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(577, 632, F5, 24) (dual of [632, 555, 25]-code) [i]✔
6Linear OA(5100, 663, F5, 28) (dual of [663, 563, 29]-code) [i]✔
7Linear OA(599, 660, F5, 28) (dual of [660, 561, 29]-code) [i]✔
8Linear OA(582, 637, F5, 25) (dual of [637, 555, 26]-code) [i]✔
9Linear OA(581, 632, F5, 25) (dual of [632, 551, 26]-code) [i]✔
10Linear OA(5106, 655, F5, 31) (dual of [655, 549, 32]-code) [i]✔
11Linear OA(5109, 658, F5, 32) (dual of [658, 549, 33]-code) [i]✔
12Linear OA(5116, 666, F5, 33) (dual of [666, 550, 34]-code) [i]✔
13Linear OA(5123, 673, F5, 34) (dual of [673, 550, 35]-code) [i]✔
14Linear OA(5129, 674, F5, 35) (dual of [674, 545, 36]-code) [i]✔
15Linear OA(5122, 672, F5, 34) (dual of [672, 550, 35]-code) [i]✔
16Linear OA(5129, 679, F5, 35) (dual of [679, 550, 36]-code) [i]✔
17Linear OA(5127, 672, F5, 35) (dual of [672, 545, 36]-code) [i]✔