Information on Result #613769

Linear OA(561, 625, F5, 19) (dual of [625, 564, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19

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(570, 635, F5, 19) (dual of [635, 565, 20]-code) [i](u, u+v)-Construction
2Linear OA(571, 637, F5, 19) (dual of [637, 566, 20]-code) [i]
3Linear OA(572, 639, F5, 19) (dual of [639, 567, 20]-code) [i]
4Linear OA(573, 641, F5, 19) (dual of [641, 568, 20]-code) [i]
5Linear OA(566, 630, F5, 21) (dual of [630, 564, 22]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
6Linear OA(561, 629, F5, 19) (dual of [629, 568, 20]-code) [i]✔
7Linear OA(572, 636, F5, 22) (dual of [636, 564, 23]-code) [i]✔
8Linear OA(562, 634, F5, 19) (dual of [634, 572, 20]-code) [i]✔
9Linear OA(577, 641, F5, 23) (dual of [641, 564, 24]-code) [i]✔
10Linear OA(564, 640, F5, 19) (dual of [640, 576, 20]-code) [i]✔
11Linear OA(583, 645, F5, 24) (dual of [645, 562, 25]-code) [i]✔
12Linear OA(584, 648, F5, 24) (dual of [648, 564, 25]-code) [i]✔
13Linear OA(567, 645, F5, 19) (dual of [645, 578, 20]-code) [i]✔
14Linear OA(568, 648, F5, 19) (dual of [648, 580, 20]-code) [i]✔
15Linear OA(593, 657, F5, 26) (dual of [657, 564, 27]-code) [i]✔
16Linear OA(570, 652, F5, 19) (dual of [652, 582, 20]-code) [i]✔
17Linear OA(571, 655, F5, 19) (dual of [655, 584, 20]-code) [i]✔
18Linear OA(597, 661, F5, 27) (dual of [661, 564, 28]-code) [i]✔
19Linear OA(573, 661, F5, 19) (dual of [661, 588, 20]-code) [i]✔
20Linear OA(5103, 667, F5, 28) (dual of [667, 564, 29]-code) [i]✔
21Linear OA(594, 658, F5, 27) (dual of [658, 564, 28]-code) [i]✔
22Linear OA(5101, 662, F5, 28) (dual of [662, 561, 29]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
23Linear OA(596, 658, F5, 27) (dual of [658, 562, 28]-code) [i]✔
24Linear OA(595, 656, F5, 27) (dual of [656, 561, 28]-code) [i]✔
25Linear OA(592, 653, F5, 26) (dual of [653, 561, 27]-code) [i]✔
26Linear OA(590, 654, F5, 25) (dual of [654, 564, 26]-code) [i]✔
27Linear OA(592, 655, F5, 26) (dual of [655, 563, 27]-code) [i]✔
28Linear OA(589, 652, F5, 25) (dual of [652, 563, 26]-code) [i]✔
29Linear OA(591, 653, F5, 26) (dual of [653, 562, 27]-code) [i]✔
30Linear OA(588, 650, F5, 25) (dual of [650, 562, 26]-code) [i]✔
31Linear OA(590, 651, F5, 26) (dual of [651, 561, 27]-code) [i]✔
32Linear OA(594, 659, F5, 26) (dual of [659, 565, 27]-code) [i]✔
33Linear OA(592, 657, F5, 25) (dual of [657, 565, 26]-code) [i]✔
34Linear OA(582, 643, F5, 24) (dual of [643, 561, 25]-code) [i]✔
35Linear OA(585, 650, F5, 24) (dual of [650, 565, 25]-code) [i]✔
36Linear OA(578, 643, F5, 23) (dual of [643, 565, 24]-code) [i]✔
37Linear OA(571, 632, F5, 22) (dual of [632, 561, 23]-code) [i]✔
38Linear OA(567, 632, F5, 21) (dual of [632, 565, 22]-code) [i]✔
39Linear OA(563, 636, F5, 19) (dual of [636, 573, 20]-code) [i]✔
40Linear OA(566, 643, F5, 19) (dual of [643, 577, 20]-code) [i]✔
41Linear OA(569, 650, F5, 19) (dual of [650, 581, 20]-code) [i]✔
42Linear OA(572, 657, F5, 19) (dual of [657, 585, 20]-code) [i]✔
43Linear OA(592, 653, F5, 27) (dual of [653, 561, 28]-code) [i]✔