Information on Result #613971

Linear OA(5107, 625, F5, 34) (dual of [625, 518, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34

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(5124, 643, F5, 34) (dual of [643, 519, 35]-code) [i](u, u+v)-Construction
2Linear OA(5127, 649, F5, 34) (dual of [649, 522, 35]-code) [i]
3Linear OA(5112, 630, F5, 36) (dual of [630, 518, 37]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(5107, 629, F5, 34) (dual of [629, 522, 35]-code) [i]✔
5Linear OA(5118, 636, F5, 37) (dual of [636, 518, 38]-code) [i]✔
6Linear OA(5108, 634, F5, 34) (dual of [634, 526, 35]-code) [i]✔
7Linear OA(5123, 641, F5, 38) (dual of [641, 518, 39]-code) [i]✔
8Linear OA(5110, 640, F5, 34) (dual of [640, 530, 35]-code) [i]✔
9Linear OA(5129, 645, F5, 39) (dual of [645, 516, 40]-code) [i]✔
10Linear OA(5130, 648, F5, 39) (dual of [648, 518, 40]-code) [i]✔
11Linear OA(5113, 645, F5, 34) (dual of [645, 532, 35]-code) [i]✔
12Linear OA(5114, 648, F5, 34) (dual of [648, 534, 35]-code) [i]✔
13Linear OA(5139, 657, F5, 41) (dual of [657, 518, 42]-code) [i]✔
14Linear OA(5136, 652, F5, 40) (dual of [652, 516, 41]-code) [i]✔
15Linear OA(5137, 655, F5, 40) (dual of [655, 518, 41]-code) [i]✔
16Linear OA(5116, 652, F5, 34) (dual of [652, 536, 35]-code) [i]✔
17Linear OA(5117, 655, F5, 34) (dual of [655, 538, 35]-code) [i]✔
18Linear OA(5145, 663, F5, 42) (dual of [663, 518, 43]-code) [i]✔
19Linear OA(5119, 661, F5, 34) (dual of [661, 542, 35]-code) [i]✔
20Linear OA(5121, 665, F5, 34) (dual of [665, 544, 35]-code) [i]✔
21Linear OA(5125, 673, F5, 34) (dual of [673, 548, 35]-code) [i]✔
22Linear OA(5127, 677, F5, 34) (dual of [677, 550, 35]-code) [i]✔
23Linear OA(5144, 660, F5, 42) (dual of [660, 516, 43]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
24Linear OA(5143, 658, F5, 42) (dual of [658, 515, 43]-code) [i]✔
25Linear OA(5136, 654, F5, 40) (dual of [654, 518, 41]-code) [i]✔
26Linear OA(5138, 655, F5, 41) (dual of [655, 517, 42]-code) [i]✔
27Linear OA(5135, 652, F5, 40) (dual of [652, 517, 41]-code) [i]✔
28Linear OA(5137, 653, F5, 41) (dual of [653, 516, 42]-code) [i]✔
29Linear OA(5134, 650, F5, 40) (dual of [650, 516, 41]-code) [i]✔
30Linear OA(5136, 651, F5, 41) (dual of [651, 515, 42]-code) [i]✔
31Linear OA(5133, 648, F5, 40) (dual of [648, 515, 41]-code) [i]✔
32Linear OA(5140, 659, F5, 41) (dual of [659, 519, 42]-code) [i]✔
33Linear OA(5138, 657, F5, 40) (dual of [657, 519, 41]-code) [i]✔
34Linear OA(5128, 643, F5, 39) (dual of [643, 515, 40]-code) [i]✔
35Linear OA(5131, 650, F5, 39) (dual of [650, 519, 40]-code) [i]✔
36Linear OA(5122, 637, F5, 38) (dual of [637, 515, 39]-code) [i]✔
37Linear OA(5124, 643, F5, 38) (dual of [643, 519, 39]-code) [i]✔
38Linear OA(5117, 632, F5, 37) (dual of [632, 515, 38]-code) [i]✔
39Linear OA(5113, 632, F5, 36) (dual of [632, 519, 37]-code) [i]✔
40Linear OA(5109, 636, F5, 34) (dual of [636, 527, 35]-code) [i]✔
41Linear OA(5112, 643, F5, 34) (dual of [643, 531, 35]-code) [i]✔
42Linear OA(5115, 650, F5, 34) (dual of [650, 535, 35]-code) [i]✔
43Linear OA(5118, 657, F5, 34) (dual of [657, 539, 35]-code) [i]✔