Information on Result #682440

Linear OA(557, 78125, F5, 11) (dual of [78125, 78068, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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(564, 78132, F5, 12) (dual of [78132, 78068, 13]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(558, 78133, F5, 11) (dual of [78133, 78075, 12]-code) [i]✔
3Linear OA(558, 78140, F5, 10) (dual of [78140, 78082, 11]-code) [i]✔
4Linear OA(560, 78142, F5, 11) (dual of [78142, 78082, 12]-code) [i]✔
5Linear OA(581, 78149, F5, 14) (dual of [78149, 78068, 15]-code) [i]✔
6Linear OA(561, 78150, F5, 11) (dual of [78150, 78089, 12]-code) [i]✔
7Linear OA(593, 78161, F5, 16) (dual of [78161, 78068, 17]-code) [i]✔
8Linear OA(561, 78151, F5, 10) (dual of [78151, 78090, 11]-code) [i]✔
9Linear OA(562, 78158, F5, 10) (dual of [78158, 78096, 11]-code) [i]✔
10Linear OA(5102, 78170, F5, 17) (dual of [78170, 78068, 18]-code) [i]✔
11Linear OA(5111, 78179, F5, 18) (dual of [78179, 78068, 19]-code) [i]✔
12Linear OA(591, 78155, F5, 16) (dual of [78155, 78064, 17]-code) [i]✔
13Linear OA(592, 78160, F5, 16) (dual of [78160, 78068, 17]-code) [i]✔
14Linear OA(563, 78155, F5, 11) (dual of [78155, 78092, 12]-code) [i]✔
15Linear OA(564, 78160, F5, 11) (dual of [78160, 78096, 12]-code) [i]✔
16Linear OA(5101, 78169, F5, 17) (dual of [78169, 78068, 18]-code) [i]✔
17Linear OA(592, 78155, F5, 16) (dual of [78155, 78063, 17]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
18Linear OA(590, 78152, F5, 16) (dual of [78152, 78062, 17]-code) [i]✔
19Linear OA(585, 78156, F5, 14) (dual of [78156, 78071, 15]-code) [i]✔
20Linear OA(584, 78154, F5, 14) (dual of [78154, 78070, 15]-code) [i]✔
21Linear OA(583, 78152, F5, 14) (dual of [78152, 78069, 15]-code) [i]✔
22Linear OA(566, 78135, F5, 12) (dual of [78135, 78069, 13]-code) [i]✔
23Linear OA(559, 78135, F5, 11) (dual of [78135, 78076, 12]-code) [i]✔
24Linear OA(564, 78155, F5, 11) (dual of [78155, 78091, 12]-code) [i]✔
25Linear OA(562, 78152, F5, 11) (dual of [78152, 78090, 12]-code) [i]✔
26Linear OA(558, 78141, F5, 10) (dual of [78141, 78083, 11]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes