Information on Result #613913

Linear OA(587, 625, F5, 28) (dual of [625, 538, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28

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(5101, 640, F5, 28) (dual of [640, 539, 29]-code) [i](u, u+v)-Construction
2Linear OA(5103, 643, F5, 28) (dual of [643, 540, 29]-code) [i]
3Linear OA(591, 629, F5, 29) (dual of [629, 538, 30]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(587, 629, F5, 28) (dual of [629, 542, 29]-code) [i]✔
5Linear OA(596, 634, F5, 30) (dual of [634, 538, 31]-code) [i]✔
6Linear OA(598, 636, F5, 31) (dual of [636, 538, 32]-code) [i]✔
7Linear OA(588, 632, F5, 28) (dual of [632, 544, 29]-code) [i]✔
8Linear OA(5103, 641, F5, 32) (dual of [641, 538, 33]-code) [i]✔
9Linear OA(591, 639, F5, 28) (dual of [639, 548, 29]-code) [i]✔
10Linear OA(5109, 645, F5, 33) (dual of [645, 536, 34]-code) [i]✔
11Linear OA(5110, 648, F5, 33) (dual of [648, 538, 34]-code) [i]✔
12Linear OA(593, 645, F5, 28) (dual of [645, 552, 29]-code) [i]✔
13Linear OA(5116, 652, F5, 34) (dual of [652, 536, 35]-code) [i]✔
14Linear OA(5117, 655, F5, 34) (dual of [655, 538, 35]-code) [i]✔
15Linear OA(595, 649, F5, 28) (dual of [649, 554, 29]-code) [i]✔
16Linear OA(596, 652, F5, 28) (dual of [652, 556, 29]-code) [i]✔
17Linear OA(5125, 663, F5, 36) (dual of [663, 538, 37]-code) [i]✔
18Linear OA(5123, 661, F5, 35) (dual of [661, 538, 36]-code) [i]✔
19Linear OA(599, 659, F5, 28) (dual of [659, 560, 29]-code) [i]✔
20Linear OA(5131, 669, F5, 37) (dual of [669, 538, 38]-code) [i]✔
21Linear OA(5103, 667, F5, 28) (dual of [667, 564, 29]-code) [i]✔
22Linear OA(5137, 675, F5, 38) (dual of [675, 538, 39]-code) [i]✔
23Linear OA(5124, 659, F5, 36) (dual of [659, 535, 37]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
24Linear OA(5122, 657, F5, 35) (dual of [657, 535, 36]-code) [i]✔
25Linear OA(5115, 650, F5, 34) (dual of [650, 535, 35]-code) [i]✔
26Linear OA(5118, 657, F5, 34) (dual of [657, 539, 35]-code) [i]✔
27Linear OA(5108, 643, F5, 33) (dual of [643, 535, 34]-code) [i]✔
28Linear OA(5111, 650, F5, 33) (dual of [650, 539, 34]-code) [i]✔
29Linear OA(5104, 643, F5, 32) (dual of [643, 539, 33]-code) [i]✔
30Linear OA(597, 632, F5, 31) (dual of [632, 535, 32]-code) [i]✔
31Linear OA(597, 636, F5, 30) (dual of [636, 539, 31]-code) [i]✔
32Linear OA(590, 635, F5, 28) (dual of [635, 545, 29]-code) [i]✔
33Linear OA(592, 641, F5, 28) (dual of [641, 549, 29]-code) [i]✔
34Linear OA(598, 655, F5, 28) (dual of [655, 557, 29]-code) [i]✔
35Linear OA(5101, 662, F5, 28) (dual of [662, 561, 29]-code) [i]✔