Information on Result #711356

Linear OA(573, 624, F5, 23) (dual of [624, 551, 24]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {134,135,…,156}, and designed minimum distance d ≥ |I|+1 = 24

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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(581, 644, F5, 24) (dual of [644, 563, 25]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(591, 642, F5, 28) (dual of [642, 551, 29]-code) [i]✔
6Linear OA(597, 648, F5, 29) (dual of [648, 551, 30]-code) [i]✔
7Linear OA(5104, 655, F5, 30) (dual of [655, 551, 31]-code) [i]✔
8Linear OA(5103, 652, F5, 30) (dual of [652, 549, 31]-code) [i]✔
9Linear OA(5102, 649, F5, 30) (dual of [649, 547, 31]-code) [i]✔
10Linear OA(5113, 664, F5, 32) (dual of [664, 551, 33]-code) [i]✔
11Linear OA(5111, 658, F5, 32) (dual of [658, 547, 33]-code) [i]✔
12Linear OA(5109, 654, F5, 32) (dual of [654, 545, 33]-code) [i]✔
13Linear OA(596, 647, F5, 29) (dual of [647, 551, 30]-code) [i]✔
14Linear OA(5102, 653, F5, 30) (dual of [653, 551, 31]-code) [i]✔
15Linear OA(5118, 669, F5, 33) (dual of [669, 551, 34]-code) [i]✔
16Linear OA(5117, 665, F5, 33) (dual of [665, 548, 34]-code) [i]✔
17Linear OA(5116, 663, F5, 33) (dual of [663, 547, 34]-code) [i]✔
18Linear OA(5114, 659, F5, 33) (dual of [659, 545, 34]-code) [i]✔
19Linear OA(5124, 670, F5, 34) (dual of [670, 546, 35]-code) [i]✔
20Linear OA(5124, 675, F5, 34) (dual of [675, 551, 35]-code) [i]✔
21Linear OA(5120, 665, F5, 34) (dual of [665, 545, 35]-code) [i]✔
22Linear OA(5130, 676, F5, 35) (dual of [676, 546, 36]-code) [i]✔
23Linear OA(5132, 683, F5, 36) (dual of [683, 551, 37]-code) [i]✔
24Linear OA(5129, 680, F5, 35) (dual of [680, 551, 36]-code) [i]✔
25Linear OA(5131, 679, F5, 36) (dual of [679, 548, 37]-code) [i]✔
26Linear OA(5128, 676, F5, 35) (dual of [676, 548, 36]-code) [i]✔
27Linear OA(5130, 677, F5, 36) (dual of [677, 547, 37]-code) [i]✔
28Linear OA(5127, 674, F5, 35) (dual of [674, 547, 36]-code) [i]✔
29Linear OA(5128, 673, F5, 36) (dual of [673, 545, 37]-code) [i]✔
30Linear OA(5125, 670, F5, 35) (dual of [670, 545, 36]-code) [i]✔
31Linear OA(5138, 684, F5, 37) (dual of [684, 546, 38]-code) [i]✔
32Linear OA(5139, 690, F5, 37) (dual of [690, 551, 38]-code) [i]✔