Information on Result #613862

Linear OA(577, 625, F5, 24) (dual of [625, 548, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24

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(589, 638, F5, 24) (dual of [638, 549, 25]-code) [i](u, u+v)-Construction
2Linear OA(591, 641, F5, 24) (dual of [641, 550, 25]-code) [i]
3Linear OA(592, 644, F5, 24) (dual of [644, 552, 25]-code) [i]
4Linear OA(593, 650, F5, 24) (dual of [650, 557, 25]-code) [i]
5Linear OA(582, 630, F5, 26) (dual of [630, 548, 27]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
6Linear OA(577, 629, F5, 24) (dual of [629, 552, 25]-code) [i]✔
7Linear OA(585, 631, F5, 27) (dual of [631, 546, 28]-code) [i]✔
8Linear OA(586, 634, F5, 27) (dual of [634, 548, 28]-code) [i]✔
9Linear OA(578, 634, F5, 24) (dual of [634, 556, 25]-code) [i]✔
10Linear OA(591, 639, F5, 28) (dual of [639, 548, 29]-code) [i]✔
11Linear OA(580, 640, F5, 24) (dual of [640, 560, 25]-code) [i]✔
12Linear OA(597, 645, F5, 29) (dual of [645, 548, 30]-code) [i]✔
13Linear OA(583, 645, F5, 24) (dual of [645, 562, 25]-code) [i]✔
14Linear OA(584, 648, F5, 24) (dual of [648, 564, 25]-code) [i]✔
15Linear OA(5104, 650, F5, 31) (dual of [650, 546, 32]-code) [i]✔
16Linear OA(5107, 655, F5, 31) (dual of [655, 548, 32]-code) [i]✔
17Linear OA(5104, 652, F5, 30) (dual of [652, 548, 31]-code) [i]✔
18Linear OA(586, 652, F5, 24) (dual of [652, 566, 25]-code) [i]✔
19Linear OA(587, 655, F5, 24) (dual of [655, 568, 25]-code) [i]✔
20Linear OA(5113, 661, F5, 32) (dual of [661, 548, 33]-code) [i]✔
21Linear OA(589, 661, F5, 24) (dual of [661, 572, 25]-code) [i]✔
22Linear OA(5119, 667, F5, 33) (dual of [667, 548, 34]-code) [i]✔
23Linear OA(591, 667, F5, 24) (dual of [667, 576, 25]-code) [i]✔
24Linear OA(5125, 673, F5, 34) (dual of [673, 548, 35]-code) [i]✔
25Linear OA(5134, 679, F5, 36) (dual of [679, 545, 37]-code) [i]✔
26Linear OA(5131, 677, F5, 35) (dual of [677, 546, 36]-code) [i]✔
27Linear OA(5104, 652, F5, 31) (dual of [652, 548, 32]-code) [i]✔
28Linear OA(5118, 663, F5, 33) (dual of [663, 545, 34]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
29Linear OA(5117, 662, F5, 33) (dual of [662, 545, 34]-code) [i]✔
30Linear OA(5111, 656, F5, 32) (dual of [656, 545, 33]-code) [i]✔
31Linear OA(5112, 658, F5, 32) (dual of [658, 546, 33]-code) [i]✔
32Linear OA(5106, 653, F5, 31) (dual of [653, 547, 32]-code) [i]✔
33Linear OA(5103, 650, F5, 30) (dual of [650, 547, 31]-code) [i]✔
34Linear OA(5102, 648, F5, 30) (dual of [648, 546, 31]-code) [i]✔
35Linear OA(5101, 646, F5, 30) (dual of [646, 545, 31]-code) [i]✔
36Linear OA(5108, 657, F5, 31) (dual of [657, 549, 32]-code) [i]✔
37Linear OA(5106, 655, F5, 30) (dual of [655, 549, 31]-code) [i]✔
38Linear OA(596, 641, F5, 29) (dual of [641, 545, 30]-code) [i]✔
39Linear OA(590, 635, F5, 28) (dual of [635, 545, 29]-code) [i]✔
40Linear OA(592, 641, F5, 28) (dual of [641, 549, 29]-code) [i]✔
41Linear OA(583, 632, F5, 26) (dual of [632, 549, 27]-code) [i]✔
42Linear OA(579, 636, F5, 24) (dual of [636, 557, 25]-code) [i]✔
43Linear OA(582, 643, F5, 24) (dual of [643, 561, 25]-code) [i]✔
44Linear OA(585, 650, F5, 24) (dual of [650, 565, 25]-code) [i]✔
45Linear OA(588, 657, F5, 24) (dual of [657, 569, 25]-code) [i]✔
46Linear OA(5103, 648, F5, 31) (dual of [648, 545, 32]-code) [i]✔