Information on Result #711856

Linear OA(5111, 624, F5, 36) (dual of [624, 513, 37]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−5,−4,…,30}, and designed minimum distance d ≥ |I|+1 = 37

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(5111, 596, F5, 2, 36) (dual of [(596, 2), 1081, 37]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(5111, 596, F5, 3, 36) (dual of [(596, 3), 1677, 37]-NRT-code) [i]
3Digital (75, 111, 596)-net over F5 [i]
4Linear OA(5126, 670, F5, 36) (dual of [670, 544, 37]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(5124, 666, F5, 36) (dual of [666, 542, 37]-code) [i]✔
6Linear OA(5122, 664, F5, 35) (dual of [664, 542, 36]-code) [i]✔
7Linear OA(5123, 664, F5, 36) (dual of [664, 541, 37]-code) [i]✔
8Linear OA(5122, 661, F5, 36) (dual of [661, 539, 37]-code) [i]✔
9Linear OA(5121, 656, F5, 36) (dual of [656, 535, 37]-code) [i]✔
10Linear OA(5120, 653, F5, 36) (dual of [653, 533, 37]-code) [i]✔
11Linear OA(5119, 650, F5, 36) (dual of [650, 531, 37]-code) [i]✔
12Linear OA(5124, 667, F5, 36) (dual of [667, 543, 37]-code) [i]✔
13Linear OA(5121, 664, F5, 35) (dual of [664, 543, 36]-code) [i]✔
14Linear OA(5122, 663, F5, 36) (dual of [663, 541, 37]-code) [i]✔
15Linear OA(5119, 660, F5, 35) (dual of [660, 541, 36]-code) [i]✔
16Linear OA(5121, 660, F5, 36) (dual of [660, 539, 37]-code) [i]✔
17Linear OA(5118, 655, F5, 35) (dual of [655, 537, 36]-code) [i]✔
18Linear OA(5120, 655, F5, 36) (dual of [655, 535, 37]-code) [i]✔
19Linear OA(5119, 652, F5, 36) (dual of [652, 533, 37]-code) [i]✔
20Linear OA(5116, 649, F5, 35) (dual of [649, 533, 36]-code) [i]✔
21Linear OA(5118, 649, F5, 36) (dual of [649, 531, 37]-code) [i]✔
22Linear OA(5124, 654, F5, 37) (dual of [654, 530, 38]-code) [i]✔
23Linear OA(5123, 652, F5, 37) (dual of [652, 529, 38]-code) [i]✔
24Linear OA(5122, 649, F5, 37) (dual of [649, 527, 38]-code) [i]✔
25Linear OA(5122, 651, F5, 37) (dual of [651, 529, 38]-code) [i]✔
26Linear OA(5121, 648, F5, 37) (dual of [648, 527, 38]-code) [i]✔
27Linear OA(5129, 659, F5, 38) (dual of [659, 530, 39]-code) [i]✔
28Linear OA(5128, 657, F5, 38) (dual of [657, 529, 39]-code) [i]✔
29Linear OA(5127, 654, F5, 38) (dual of [654, 527, 39]-code) [i]✔
30Linear OA(5127, 656, F5, 38) (dual of [656, 529, 39]-code) [i]✔
31Linear OA(5126, 653, F5, 38) (dual of [653, 527, 39]-code) [i]✔
32Linear OA(5135, 665, F5, 39) (dual of [665, 530, 40]-code) [i]✔
33Linear OA(5133, 662, F5, 39) (dual of [662, 529, 40]-code) [i]✔
34Linear OA(5132, 659, F5, 39) (dual of [659, 527, 40]-code) [i]✔
35Linear OA(5143, 673, F5, 41) (dual of [673, 530, 42]-code) [i]✔
36Linear OA(5140, 670, F5, 40) (dual of [670, 530, 41]-code) [i]✔
37Linear OA(5139, 668, F5, 40) (dual of [668, 529, 41]-code) [i]✔
38Linear OA(5138, 665, F5, 40) (dual of [665, 527, 41]-code) [i]✔
39Linear OA(5141, 670, F5, 41) (dual of [670, 529, 42]-code) [i]✔
40Linear OA(5138, 667, F5, 40) (dual of [667, 529, 41]-code) [i]✔
41Linear OA(5140, 667, F5, 41) (dual of [667, 527, 42]-code) [i]✔
42Linear OA(5137, 664, F5, 40) (dual of [664, 527, 41]-code) [i]✔
43Linear OOA(5111, 312, F5, 2, 36) (dual of [(312, 2), 513, 37]-NRT-code) [i]OOA Folding
44Linear OOA(5111, 208, F5, 3, 36) (dual of [(208, 3), 513, 37]-NRT-code) [i]