Information on Result #711086

Linear OA(565, 624, F5, 21) (dual of [624, 559, 22]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {136,137,…,156}, and designed minimum distance d ≥ |I|+1 = 22

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(565, 436, F5, 2, 21) (dual of [(436, 2), 807, 22]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(565, 436, F5, 3, 21) (dual of [(436, 3), 1243, 22]-NRT-code) [i]
3Digital (44, 65, 436)-net over F5 [i]
4Linear OA(583, 664, F5, 22) (dual of [664, 581, 23]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(580, 659, F5, 22) (dual of [659, 579, 23]-code) [i]✔
6Linear OA(579, 656, F5, 22) (dual of [656, 577, 23]-code) [i]✔
7Linear OA(578, 653, F5, 22) (dual of [653, 575, 23]-code) [i]✔
8Linear OA(588, 669, F5, 23) (dual of [669, 581, 24]-code) [i]✔
9Linear OA(587, 665, F5, 23) (dual of [665, 578, 24]-code) [i]✔
10Linear OA(586, 663, F5, 23) (dual of [663, 577, 24]-code) [i]✔
11Linear OA(585, 664, F5, 23) (dual of [664, 579, 24]-code) [i]✔
12Linear OA(584, 661, F5, 23) (dual of [661, 577, 24]-code) [i]✔
13Linear OA(583, 658, F5, 23) (dual of [658, 575, 24]-code) [i]✔
14Linear OA(591, 670, F5, 24) (dual of [670, 579, 25]-code) [i]✔
15Linear OA(590, 667, F5, 24) (dual of [667, 577, 25]-code) [i]✔
16Linear OA(573, 644, F5, 22) (dual of [644, 571, 23]-code) [i]✔
17Linear OA(572, 639, F5, 22) (dual of [639, 567, 23]-code) [i]✔
18Linear OA(571, 634, F5, 22) (dual of [634, 563, 23]-code) [i]✔
19Linear OA(570, 633, F5, 22) (dual of [633, 563, 23]-code) [i]✔
20Linear OA(596, 655, F5, 28) (dual of [655, 559, 29]-code) [i]✔
21Linear OA(595, 652, F5, 28) (dual of [652, 557, 29]-code) [i]✔
22Linear OA(594, 649, F5, 28) (dual of [649, 555, 29]-code) [i]✔
23Linear OA(5103, 662, F5, 29) (dual of [662, 559, 30]-code) [i]✔
24Linear OA(5101, 656, F5, 29) (dual of [656, 555, 30]-code) [i]✔
25Linear OA(5100, 653, F5, 29) (dual of [653, 553, 30]-code) [i]✔
26Linear OA(5101, 660, F5, 29) (dual of [660, 559, 30]-code) [i]✔
27Linear OA(5100, 657, F5, 29) (dual of [657, 557, 30]-code) [i]✔
28Linear OA(599, 654, F5, 29) (dual of [654, 555, 30]-code) [i]✔
29Linear OA(5108, 667, F5, 30) (dual of [667, 559, 31]-code) [i]✔
30Linear OA(5107, 664, F5, 30) (dual of [664, 557, 31]-code) [i]✔
31Linear OA(5106, 661, F5, 30) (dual of [661, 555, 31]-code) [i]✔
32Linear OA(5105, 658, F5, 30) (dual of [658, 553, 31]-code) [i]✔
33Linear OA(5107, 666, F5, 30) (dual of [666, 559, 31]-code) [i]✔
34Linear OA(5106, 663, F5, 30) (dual of [663, 557, 31]-code) [i]✔
35Linear OA(5115, 674, F5, 32) (dual of [674, 559, 33]-code) [i]✔
36Linear OA(5114, 671, F5, 32) (dual of [671, 557, 33]-code) [i]✔
37Linear OA(5122, 681, F5, 33) (dual of [681, 559, 34]-code) [i]✔
38Linear OA(5121, 678, F5, 33) (dual of [678, 557, 34]-code) [i]✔
39Linear OOA(565, 208, F5, 3, 21) (dual of [(208, 3), 559, 22]-NRT-code) [i]OOA Folding