Information on Result #612941
Linear OA(479, 256, F4, 27) (dual of [256, 177, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(484, 261, F4, 29) (dual of [261, 177, 30]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(479, 260, F4, 27) (dual of [260, 181, 28]-code) | [i] | ✔ | |
| 3 | Linear OA(490, 267, F4, 30) (dual of [267, 177, 31]-code) | [i] | ✔ | |
| 4 | Linear OA(480, 265, F4, 27) (dual of [265, 185, 28]-code) | [i] | ✔ | |
| 5 | Linear OA(495, 272, F4, 31) (dual of [272, 177, 32]-code) | [i] | ✔ | |
| 6 | Linear OA(483, 272, F4, 27) (dual of [272, 189, 28]-code) | [i] | ✔ | |
| 7 | Linear OA(4105, 281, F4, 34) (dual of [281, 176, 35]-code) | [i] | ✔ | |
| 8 | Linear OA(4107, 284, F4, 34) (dual of [284, 177, 35]-code) | [i] | ✔ | |
| 9 | Linear OA(4105, 282, F4, 33) (dual of [282, 177, 34]-code) | [i] | ✔ | |
| 10 | Linear OA(4101, 277, F4, 32) (dual of [277, 176, 33]-code) | [i] | ✔ | |
| 11 | Linear OA(4102, 279, F4, 32) (dual of [279, 177, 33]-code) | [i] | ✔ | |
| 12 | Linear OA(485, 277, F4, 27) (dual of [277, 192, 28]-code) | [i] | ✔ | |
| 13 | Linear OA(486, 279, F4, 27) (dual of [279, 193, 28]-code) | [i] | ✔ | |
| 14 | Linear OA(4110, 287, F4, 35) (dual of [287, 177, 36]-code) | [i] | ✔ | |
| 15 | Linear OA(489, 286, F4, 27) (dual of [286, 197, 28]-code) | [i] | ✔ | |
| 16 | Linear OA(4118, 292, F4, 37) (dual of [292, 174, 38]-code) | [i] | ✔ | |
| 17 | Linear OA(4119, 296, F4, 37) (dual of [296, 177, 38]-code) | [i] | ✔ | |
| 18 | Linear OA(4118, 294, F4, 37) (dual of [294, 176, 38]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 19 | Linear OA(4117, 292, F4, 37) (dual of [292, 175, 38]-code) | [i] | ✔ | |
| 20 | Linear OA(4116, 290, F4, 37) (dual of [290, 174, 38]-code) | [i] | ✔ | |
| 21 | Linear OA(4113, 293, F4, 35) (dual of [293, 180, 36]-code) | [i] | ✔ | |
| 22 | Linear OA(4112, 291, F4, 35) (dual of [291, 179, 36]-code) | [i] | ✔ | |
| 23 | Linear OA(4111, 289, F4, 35) (dual of [289, 178, 36]-code) | [i] | ✔ | |
| 24 | Linear OA(4104, 279, F4, 34) (dual of [279, 175, 35]-code) | [i] | ✔ | |
| 25 | Linear OA(4103, 277, F4, 34) (dual of [277, 174, 35]-code) | [i] | ✔ | |
| 26 | Linear OA(4101, 275, F4, 33) (dual of [275, 174, 34]-code) | [i] | ✔ | |
| 27 | Linear OA(4104, 283, F4, 32) (dual of [283, 179, 33]-code) | [i] | ✔ | |
| 28 | Linear OA(4106, 284, F4, 33) (dual of [284, 178, 34]-code) | [i] | ✔ | |
| 29 | Linear OA(4103, 281, F4, 32) (dual of [281, 178, 33]-code) | [i] | ✔ | |
| 30 | Linear OA(494, 268, F4, 31) (dual of [268, 174, 32]-code) | [i] | ✔ | |
| 31 | Linear OA(496, 274, F4, 31) (dual of [274, 178, 32]-code) | [i] | ✔ | |
| 32 | Linear OA(489, 263, F4, 30) (dual of [263, 174, 31]-code) | [i] | ✔ | |
| 33 | Linear OA(485, 263, F4, 29) (dual of [263, 178, 30]-code) | [i] | ✔ | |
| 34 | Linear OA(482, 268, F4, 27) (dual of [268, 186, 28]-code) | [i] | ✔ | |
| 35 | Linear OA(484, 274, F4, 27) (dual of [274, 190, 28]-code) | [i] | ✔ | |
| 36 | Linear OA(488, 283, F4, 27) (dual of [283, 195, 28]-code) | [i] | ✔ | |
| 37 | Linear OA(487, 281, F4, 27) (dual of [281, 194, 28]-code) | [i] | ✔ | |