Information on Result #614036

Linear OA(5127, 625, F5, 41) (dual of [625, 498, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41

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(5147, 646, F5, 41) (dual of [646, 499, 42]-code) [i](u, u+v)-Construction
2Linear OA(5131, 629, F5, 42) (dual of [629, 498, 43]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(5128, 630, F5, 41) (dual of [630, 502, 42]-code) [i]✔
4Linear OA(5136, 634, F5, 43) (dual of [634, 498, 44]-code) [i]✔
5Linear OA(5128, 634, F5, 40) (dual of [634, 506, 41]-code) [i]✔
6Linear OA(5130, 636, F5, 41) (dual of [636, 506, 42]-code) [i]✔
7Linear OA(5142, 640, F5, 44) (dual of [640, 498, 45]-code) [i]✔
8Linear OA(5131, 641, F5, 41) (dual of [641, 510, 42]-code) [i]✔
9Linear OA(5149, 645, F5, 46) (dual of [645, 496, 47]-code) [i]✔
10Linear OA(5150, 648, F5, 46) (dual of [648, 498, 47]-code) [i]✔
11Linear OA(5147, 645, F5, 45) (dual of [645, 498, 46]-code) [i]✔
12Linear OA(5133, 645, F5, 41) (dual of [645, 512, 42]-code) [i]✔
13Linear OA(5134, 648, F5, 41) (dual of [648, 514, 42]-code) [i]✔
14Linear OA(5131, 645, F5, 40) (dual of [645, 514, 41]-code) [i]✔
15Linear OA(5139, 657, F5, 41) (dual of [657, 518, 42]-code) [i]✔
16Linear OA(5136, 652, F5, 40) (dual of [652, 516, 41]-code) [i]✔
17Linear OA(5137, 655, F5, 40) (dual of [655, 518, 41]-code) [i]✔
18Linear OA(5141, 663, F5, 41) (dual of [663, 522, 42]-code) [i]✔
19Linear OA(5139, 661, F5, 40) (dual of [661, 522, 41]-code) [i]✔
20Linear OA(5143, 669, F5, 41) (dual of [669, 526, 42]-code) [i]✔
21Linear OA(5141, 667, F5, 40) (dual of [667, 526, 41]-code) [i]✔
22Linear OA(5145, 675, F5, 41) (dual of [675, 530, 42]-code) [i]✔
23Linear OA(5143, 673, F5, 40) (dual of [673, 530, 41]-code) [i]✔
24Linear OA(5149, 647, F5, 46) (dual of [647, 498, 47]-code) [i]✔
25Linear OA(5133, 647, F5, 41) (dual of [647, 514, 42]-code) [i]✔
26Linear OA(5148, 643, F5, 46) (dual of [643, 495, 47]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
27Linear OA(5150, 650, F5, 45) (dual of [650, 500, 46]-code) [i]✔
28Linear OA(5149, 648, F5, 45) (dual of [648, 499, 46]-code) [i]✔
29Linear OA(5141, 636, F5, 44) (dual of [636, 495, 45]-code) [i]✔
30Linear OA(5144, 643, F5, 44) (dual of [643, 499, 45]-code) [i]✔
31Linear OA(5138, 637, F5, 43) (dual of [637, 499, 44]-code) [i]✔
32Linear OA(5133, 632, F5, 42) (dual of [632, 499, 43]-code) [i]✔
33Linear OA(5129, 632, F5, 41) (dual of [632, 503, 42]-code) [i]✔
34Linear OA(5129, 636, F5, 40) (dual of [636, 507, 41]-code) [i]✔
35Linear OA(5132, 643, F5, 41) (dual of [643, 511, 42]-code) [i]✔
36Linear OA(5136, 654, F5, 40) (dual of [654, 518, 41]-code) [i]✔
37Linear OA(5138, 655, F5, 41) (dual of [655, 517, 42]-code) [i]✔
38Linear OA(5135, 652, F5, 40) (dual of [652, 517, 41]-code) [i]✔
39Linear OA(5137, 653, F5, 41) (dual of [653, 516, 42]-code) [i]✔
40Linear OA(5134, 650, F5, 40) (dual of [650, 516, 41]-code) [i]✔
41Linear OA(5136, 651, F5, 41) (dual of [651, 515, 42]-code) [i]✔
42Linear OA(5133, 648, F5, 40) (dual of [648, 515, 41]-code) [i]✔
43Linear OA(5140, 659, F5, 41) (dual of [659, 519, 42]-code) [i]✔
44Linear OA(5138, 657, F5, 40) (dual of [657, 519, 41]-code) [i]✔