Information on Result #612929

Linear OA(475, 256, F4, 26) (dual of [256, 181, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26

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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(479, 260, F4, 27) (dual of [260, 181, 28]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(475, 260, F4, 26) (dual of [260, 185, 27]-code) [i]
3Linear OA(484, 265, F4, 28) (dual of [265, 181, 29]-code) [i]
4Linear OA(486, 267, F4, 29) (dual of [267, 181, 30]-code) [i]
5Linear OA(478, 267, F4, 26) (dual of [267, 189, 27]-code) [i]
6Linear OA(491, 272, F4, 30) (dual of [272, 181, 31]-code) [i]
7Linear OA(479, 272, F4, 26) (dual of [272, 193, 27]-code) [i]
8Linear OA(497, 277, F4, 31) (dual of [277, 180, 32]-code) [i]
9Linear OA(498, 279, F4, 31) (dual of [279, 181, 32]-code) [i]
10Linear OA(481, 277, F4, 26) (dual of [277, 196, 27]-code) [i]
11Linear OA(482, 279, F4, 26) (dual of [279, 197, 27]-code) [i]
12Linear OA(4108, 289, F4, 34) (dual of [289, 181, 35]-code) [i]
13Linear OA(4113, 293, F4, 35) (dual of [293, 180, 36]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
14Linear OA(4112, 291, F4, 35) (dual of [291, 179, 36]-code) [i]
15Linear OA(4111, 289, F4, 35) (dual of [289, 178, 36]-code) [i]
16Linear OA(4104, 283, F4, 32) (dual of [283, 179, 33]-code) [i]
17Linear OA(4106, 284, F4, 33) (dual of [284, 178, 34]-code) [i]
18Linear OA(4103, 281, F4, 32) (dual of [281, 178, 33]-code) [i]
19Linear OA(4109, 291, F4, 34) (dual of [291, 182, 35]-code) [i]
20Linear OA(496, 274, F4, 31) (dual of [274, 178, 32]-code) [i]
21Linear OA(4100, 283, F4, 31) (dual of [283, 183, 32]-code) [i]
22Linear OA(499, 281, F4, 31) (dual of [281, 182, 32]-code) [i]
23Linear OA(492, 274, F4, 30) (dual of [274, 182, 31]-code) [i]
24Linear OA(485, 263, F4, 29) (dual of [263, 178, 30]-code) [i]
25Linear OA(485, 267, F4, 28) (dual of [267, 182, 29]-code) [i]
26Linear OA(477, 263, F4, 26) (dual of [263, 186, 27]-code) [i]
27Linear OA(480, 274, F4, 26) (dual of [274, 194, 27]-code) [i]
28Linear OA(486, 286, F4, 26) (dual of [286, 200, 27]-code) [i]
29Linear OA(485, 284, F4, 26) (dual of [284, 199, 27]-code) [i]
30Linear OA(484, 282, F4, 26) (dual of [282, 198, 27]-code) [i]