Information on Result #674150
Linear OA(257, 64, F2, 31) (dual of [64, 7, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(257, 64, F2, 30) (dual of [64, 7, 31]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(257, 64, F2, 29) (dual of [64, 7, 30]-code) | [i] | ||
| 3 | Linear OA(258, 65, F2, 31) (dual of [65, 7, 32]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(259, 66, F2, 31) (dual of [66, 7, 32]-code) | [i] | ||
| 5 | Linear OA(256, 63, F2, 30) (dual of [63, 7, 31]-code) | [i] | Truncation | |
| 6 | Linear OA(255, 62, F2, 29) (dual of [62, 7, 30]-code) | [i] | ||
| 7 | Linear OA(254, 61, F2, 28) (dual of [61, 7, 29]-code) | [i] | ||
| 8 | Linear OA(253, 60, F2, 27) (dual of [60, 7, 28]-code) | [i] | ||
| 9 | Linear OA(252, 59, F2, 26) (dual of [59, 7, 27]-code) | [i] | ||
| 10 | Linear OA(264, 71, F2, 32) (dual of [71, 7, 33]-code) | [i] | Juxtaposition | |
| 11 | Linear OA(268, 75, F2, 34) (dual of [75, 7, 35]-code) | [i] | ||
| 12 | Linear OA(272, 79, F2, 36) (dual of [79, 7, 37]-code) | [i] | ||
| 13 | Linear OA(275, 82, F2, 38) (dual of [82, 7, 39]-code) | [i] | ||
| 14 | Linear OA(264, 71, F2, 33) (dual of [71, 7, 34]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 15 | Linear OA(280, 87, F2, 41) (dual of [87, 7, 42]-code) | [i] | ✔ | |
| 16 | Linear OA(275, 82, F2, 39) (dual of [82, 7, 40]-code) | [i] | ✔ | |
| 17 | Linear OA(272, 79, F2, 37) (dual of [79, 7, 38]-code) | [i] | ✔ | |
| 18 | Linear OA(268, 75, F2, 35) (dual of [75, 7, 36]-code) | [i] | ✔ | |
| 19 | Linear OA(258, 68, F2, 29) (dual of [68, 10, 30]-code) | [i] | ✔ | |
| 20 | Linear OA(260, 68, F2, 31) (dual of [68, 8, 32]-code) | [i] | ✔ | |
| 21 | Linear OA(261, 71, F2, 31) (dual of [71, 10, 32]-code) | [i] | ✔ | |
| 22 | Linear OA(266, 82, F2, 29) (dual of [82, 16, 30]-code) | [i] | ✔ | |
| 23 | Linear OA(269, 87, F2, 29) (dual of [87, 18, 30]-code) | [i] | ✔ | |
| 24 | Linear OA(297, 107, F2, 45) (dual of [107, 10, 46]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 25 | Linear OA(282, 92, F2, 39) (dual of [92, 10, 40]-code) | [i] | ✔ | |
| 26 | Linear OA(279, 89, F2, 37) (dual of [89, 10, 38]-code) | [i] | ✔ | |
| 27 | Linear OA(271, 81, F2, 33) (dual of [81, 10, 34]-code) | [i] | ✔ | |
| 28 | Linear OA(2109, 118, F2, 53) (dual of [118, 9, 54]-code) | [i] | ✔ | |
| 29 | Linear OA(2109, 117, F2, 54) (dual of [117, 8, 55]-code) | [i] | ✔ | |
| 30 | Linear OA(2107, 115, F2, 53) (dual of [115, 8, 54]-code) | [i] | ✔ | |
| 31 | Linear OA(268, 76, F2, 33) (dual of [76, 8, 34]-code) | [i] | ✔ | |
| 32 | Linear OA(264, 76, F2, 29) (dual of [76, 12, 30]-code) | [i] | ✔ | |
| 33 | Linear OA(265, 76, F2, 31) (dual of [76, 11, 32]-code) | [i] | ✔ | |
| 34 | Linear OA(262, 73, F2, 29) (dual of [73, 11, 30]-code) | [i] | ✔ | |
| 35 | Linear OA(272, 90, F2, 31) (dual of [90, 18, 32]-code) | [i] | ✔ | |
| 36 | Linear OOA(257, 32, F2, 2, 31) (dual of [(32, 2), 7, 32]-NRT-code) | [i] | OOA Folding | |