Information on Result #683247

Linear OA(597, 626, F5, 31) (dual of [626, 529, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 58−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound)

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

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(5106, 635, F5, 33) (dual of [635, 529, 34]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(598, 635, F5, 29) (dual of [635, 537, 30]-code) [i]✔
3Linear OA(5100, 632, F5, 31) (dual of [632, 532, 32]-code) [i]✔
4Linear OA(5101, 638, F5, 31) (dual of [638, 537, 32]-code) [i]✔
5Linear OA(599, 632, F5, 30) (dual of [632, 533, 31]-code) [i]✔
6Linear OA(5117, 646, F5, 35) (dual of [646, 529, 36]-code) [i]✔
7Linear OA(5104, 647, F5, 31) (dual of [647, 543, 32]-code) [i]✔
8Linear OA(5105, 650, F5, 31) (dual of [650, 545, 32]-code) [i]✔
9Linear OA(5101, 646, F5, 29) (dual of [646, 545, 30]-code) [i]✔
10Linear OA(5130, 653, F5, 37) (dual of [653, 523, 38]-code) [i]✔
11Linear OA(5131, 660, F5, 37) (dual of [660, 529, 38]-code) [i]✔
12Linear OA(5128, 652, F5, 36) (dual of [652, 524, 37]-code) [i]✔
13Linear OA(5129, 658, F5, 36) (dual of [658, 529, 37]-code) [i]✔
14Linear OA(5110, 657, F5, 31) (dual of [657, 547, 32]-code) [i]✔
15Linear OA(5111, 664, F5, 31) (dual of [664, 553, 32]-code) [i]✔
16Linear OA(5109, 662, F5, 30) (dual of [662, 553, 31]-code) [i]✔
17Linear OA(5106, 653, F5, 29) (dual of [653, 547, 30]-code) [i]✔
18Linear OA(5107, 660, F5, 29) (dual of [660, 553, 30]-code) [i]✔
19Linear OA(5147, 676, F5, 41) (dual of [676, 529, 42]-code) [i]✔
20Linear OA(5145, 674, F5, 40) (dual of [674, 529, 41]-code) [i]✔
21Linear OA(5143, 672, F5, 39) (dual of [672, 529, 40]-code) [i]✔
22Linear OA(5141, 670, F5, 38) (dual of [670, 529, 39]-code) [i]✔
23Linear OA(5115, 676, F5, 31) (dual of [676, 561, 32]-code) [i]✔
24Linear OA(5139, 661, F5, 38) (dual of [661, 522, 39]-code) [i]✔Construction XX with a Chain of Cyclic Codes
25Linear OA(5130, 655, F5, 37) (dual of [655, 525, 38]-code) [i]✔
26Linear OA(5129, 653, F5, 37) (dual of [653, 524, 38]-code) [i]✔
27Linear OA(5128, 651, F5, 37) (dual of [651, 523, 38]-code) [i]✔
28Linear OA(5127, 649, F5, 37) (dual of [649, 522, 38]-code) [i]✔
29Linear OA(5133, 663, F5, 36) (dual of [663, 530, 37]-code) [i]✔
30Linear OA(5116, 638, F5, 35) (dual of [638, 522, 36]-code) [i]✔
31Linear OA(5126, 660, F5, 35) (dual of [660, 534, 36]-code) [i]✔
32Linear OA(5125, 658, F5, 35) (dual of [658, 533, 36]-code) [i]✔
33Linear OA(5123, 656, F5, 34) (dual of [656, 533, 35]-code) [i]✔
34Linear OA(5123, 655, F5, 35) (dual of [655, 532, 36]-code) [i]✔
35Linear OA(5122, 653, F5, 35) (dual of [653, 531, 36]-code) [i]✔
36Linear OA(5121, 651, F5, 35) (dual of [651, 530, 36]-code) [i]✔
37Linear OA(5111, 642, F5, 33) (dual of [642, 531, 34]-code) [i]✔
38Linear OA(5110, 640, F5, 33) (dual of [640, 530, 34]-code) [i]✔
39Linear OA(5103, 641, F5, 31) (dual of [641, 538, 32]-code) [i]✔
40Linear OA(5100, 638, F5, 29) (dual of [638, 538, 30]-code) [i]✔
41Linear OA(5106, 655, F5, 29) (dual of [655, 549, 30]-code) [i]✔
42Linear OA(5108, 656, F5, 30) (dual of [656, 548, 31]-code) [i]✔
43Linear OA(5105, 653, F5, 29) (dual of [653, 548, 30]-code) [i]✔
44Linear OA(5109, 656, F5, 31) (dual of [656, 547, 32]-code) [i]✔
45Linear OA(5107, 654, F5, 30) (dual of [654, 547, 31]-code) [i]✔
46Linear OA(5104, 651, F5, 29) (dual of [651, 547, 30]-code) [i]✔
47Linear OA(5108, 654, F5, 31) (dual of [654, 546, 32]-code) [i]✔
48Linear OA(5106, 652, F5, 30) (dual of [652, 546, 31]-code) [i]✔
49Linear OA(5103, 649, F5, 29) (dual of [649, 546, 30]-code) [i]✔