Information on Result #611122
Linear OA(257, 128, F2, 19) (dual of [128, 71, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, 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.
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(257, 128, F2, 18) (dual of [128, 71, 19]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(258, 129, F2, 19) (dual of [129, 71, 20]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(259, 130, F2, 19) (dual of [130, 71, 20]-code) | [i] | ||
| 4 | Linear OA(255, 126, F2, 17) (dual of [126, 71, 18]-code) | [i] | Truncation | |
| 5 | Linear OA(254, 125, F2, 16) (dual of [125, 71, 17]-code) | [i] | ||
| 6 | Linear OA(266, 138, F2, 19) (dual of [138, 72, 20]-code) | [i] | (u, u+v)-Construction | |
| 7 | Linear OA(265, 136, F2, 21) (dual of [136, 71, 22]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(258, 136, F2, 17) (dual of [136, 78, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(260, 132, F2, 19) (dual of [132, 72, 20]-code) | [i] | ✔ | |
| 10 | Linear OA(261, 136, F2, 19) (dual of [136, 75, 20]-code) | [i] | ✔ | |
| 11 | Linear OA(262, 140, F2, 19) (dual of [140, 78, 20]-code) | [i] | ✔ | |
| 12 | Linear OA(276, 144, F2, 23) (dual of [144, 68, 24]-code) | [i] | ✔ | |
| 13 | Linear OA(277, 148, F2, 23) (dual of [148, 71, 24]-code) | [i] | ✔ | |
| 14 | Linear OA(266, 146, F2, 19) (dual of [146, 80, 20]-code) | [i] | ✔ | |
| 15 | Linear OA(267, 150, F2, 19) (dual of [150, 83, 20]-code) | [i] | ✔ | |
| 16 | Linear OA(268, 153, F2, 19) (dual of [153, 85, 20]-code) | [i] | ✔ | |
| 17 | Linear OA(267, 152, F2, 19) (dual of [152, 85, 20]-code) | [i] | ✔ | |
| 18 | Linear OA(275, 141, F2, 23) (dual of [141, 66, 24]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 19 | Linear OA(274, 139, F2, 23) (dual of [139, 65, 24]-code) | [i] | ✔ | |
| 20 | Linear OA(273, 148, F2, 21) (dual of [148, 75, 22]-code) | [i] | ✔ | |
| 21 | Linear OA(272, 146, F2, 21) (dual of [146, 74, 22]-code) | [i] | ✔ | |
| 22 | Linear OA(271, 144, F2, 21) (dual of [144, 73, 22]-code) | [i] | ✔ | |
| 23 | Linear OA(269, 141, F2, 21) (dual of [141, 72, 22]-code) | [i] | ✔ | |
| 24 | Linear OA(266, 147, F2, 19) (dual of [147, 81, 20]-code) | [i] | ✔ | |
| 25 | Linear OA(265, 145, F2, 19) (dual of [145, 80, 20]-code) | [i] | ✔ | |
| 26 | Linear OA(261, 141, F2, 17) (dual of [141, 80, 18]-code) | [i] | ✔ | |
| 27 | Linear OA(264, 143, F2, 19) (dual of [143, 79, 20]-code) | [i] | ✔ | |
| 28 | Linear OA(260, 139, F2, 17) (dual of [139, 79, 18]-code) | [i] | ✔ | |
| 29 | Linear OOA(257, 64, F2, 2, 19) (dual of [(64, 2), 71, 20]-NRT-code) | [i] | OOA Folding | |
| 30 | Linear OOA(257, 32, F2, 4, 19) (dual of [(32, 4), 71, 20]-NRT-code) | [i] | ||