Information on Result #611272
Linear OA(284, 127, F2, 30) (dual of [127, 43, 31]-code), using the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,28], and minimum distance d ≥ 31 (sporadic result)
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(284, 127, F2, 29) (dual of [127, 43, 30]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(284, 127, F2, 28) (dual of [127, 43, 29]-code) | [i] | ||
| 3 | Linear OA(286, 129, F2, 30) (dual of [129, 43, 31]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(285, 128, F2, 31) (dual of [128, 43, 32]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(299, 142, F2, 32) (dual of [142, 43, 33]-code) | [i] | ✔ | |
| 6 | Linear OA(2119, 159, F2, 42) (dual of [159, 40, 43]-code) | [i] | ✔ | |
| 7 | Linear OA(2122, 165, F2, 42) (dual of [165, 43, 43]-code) | [i] | ✔ | |
| 8 | Linear OA(2118, 159, F2, 40) (dual of [159, 41, 41]-code) | [i] | ✔ | |
| 9 | Linear OA(2119, 162, F2, 40) (dual of [162, 43, 41]-code) | [i] | ✔ | |
| 10 | Linear OA(2110, 151, F2, 38) (dual of [151, 41, 39]-code) | [i] | ✔ | |
| 11 | Linear OA(2113, 155, F2, 38) (dual of [155, 42, 39]-code) | [i] | ✔ | |
| 12 | Linear OA(2114, 157, F2, 38) (dual of [157, 43, 39]-code) | [i] | ✔ | |
| 13 | Linear OA(2107, 145, F2, 36) (dual of [145, 38, 37]-code) | [i] | ✔ | |
| 14 | Linear OA(2109, 152, F2, 36) (dual of [152, 43, 37]-code) | [i] | ✔ | |
| 15 | Linear OA(2103, 143, F2, 34) (dual of [143, 40, 35]-code) | [i] | ✔ | |
| 16 | Linear OA(2104, 147, F2, 34) (dual of [147, 43, 35]-code) | [i] | ✔ | |
| 17 | Linear OA(287, 131, F2, 30) (dual of [131, 44, 31]-code) | [i] | ✔ | |
| 18 | Linear OA(288, 135, F2, 30) (dual of [135, 47, 31]-code) | [i] | ✔ | |
| 19 | Linear OA(289, 139, F2, 30) (dual of [139, 50, 31]-code) | [i] | ✔ | |
| 20 | Linear OA(296, 151, F2, 30) (dual of [151, 55, 31]-code) | [i] | ✔ | |
| 21 | Linear OA(2118, 160, F2, 40) (dual of [160, 42, 41]-code) | [i] | ✔ | |
| 22 | Linear OA(2108, 151, F2, 36) (dual of [151, 43, 37]-code) | [i] | ✔ | |
| 23 | Linear OA(2130, 177, F2, 42) (dual of [177, 47, 43]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 24 | Linear OA(295, 147, F2, 30) (dual of [147, 52, 31]-code) | [i] | ✔ | |
| 25 | Linear OA(293, 144, F2, 30) (dual of [144, 51, 31]-code) | [i] | ✔ | |
| 26 | Linear OOA(284, 63, F2, 2, 30) (dual of [(63, 2), 42, 31]-NRT-code) | [i] | OOA Folding | |
| 27 | Linear OOA(284, 42, F2, 3, 30) (dual of [(42, 3), 42, 31]-NRT-code) | [i] | ||