Information on Result #673552
Linear OA(2255, 276, F2, 119) (dual of [276, 21, 120]-code), using construction X applied to Ce(118) ⊂ Ce(110) based on
- linear OA(2243, 256, F2, 119) (dual of [256, 13, 120]-code), using an extension Ce(118) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,118], and designed minimum distance d ≥ |I|+1 = 119 [i]
- linear OA(2235, 256, F2, 111) (dual of [256, 21, 112]-code), using an extension Ce(110) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,110], and designed minimum distance d ≥ |I|+1 = 111 [i]
- linear OA(212, 20, F2, 7) (dual of [20, 8, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(212, 24, F2, 7) (dual of [24, 12, 8]-code), using
- extended Golay code Ge(2) [i]
- discarding factors / shortening the dual code based on linear OA(212, 24, F2, 7) (dual of [24, 12, 8]-code), using
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2255, 276, F2, 118) (dual of [276, 21, 119]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2255, 276, F2, 117) (dual of [276, 21, 118]-code) | [i] | ||
| 3 | Linear OA(2255, 276, F2, 116) (dual of [276, 21, 117]-code) | [i] | ||
| 4 | Linear OA(2255, 276, F2, 115) (dual of [276, 21, 116]-code) | [i] | ||
| 5 | Linear OA(2255, 276, F2, 114) (dual of [276, 21, 115]-code) | [i] | ||
| 6 | Linear OA(2255, 276, F2, 113) (dual of [276, 21, 114]-code) | [i] | ||
| 7 | Linear OA(2255, 276, F2, 112) (dual of [276, 21, 113]-code) | [i] | ||
| 8 | Linear OA(2256, 277, F2, 119) (dual of [277, 21, 120]-code) | [i] | Code Embedding in Larger Space | |
| 9 | Linear OA(2257, 278, F2, 119) (dual of [278, 21, 120]-code) | [i] | ||
| 10 | Linear OA(2258, 279, F2, 119) (dual of [279, 21, 120]-code) | [i] | ||
| 11 | Linear OA(2259, 280, F2, 119) (dual of [280, 21, 120]-code) | [i] | ||
| 12 | Linear OA(2260, 281, F2, 119) (dual of [281, 21, 120]-code) | [i] | ||
| 13 | Linear OA(2254, 275, F2, 118) (dual of [275, 21, 119]-code) | [i] | Truncation | |
| 14 | Linear OA(2253, 274, F2, 117) (dual of [274, 21, 118]-code) | [i] | ||
| 15 | Linear OA(2251, 272, F2, 115) (dual of [272, 21, 116]-code) | [i] | ||
| 16 | Linear OA(2250, 271, F2, 114) (dual of [271, 21, 115]-code) | [i] | ||
| 17 | Linear OA(2249, 270, F2, 113) (dual of [270, 21, 114]-code) | [i] | ||
| 18 | Linear OA(2247, 268, F2, 111) (dual of [268, 21, 112]-code) | [i] | ||
| 19 | Linear OA(2246, 267, F2, 110) (dual of [267, 21, 111]-code) | [i] | ||
| 20 | Linear OA(2245, 266, F2, 109) (dual of [266, 21, 110]-code) | [i] | ||
| 21 | Linear OA(2243, 264, F2, 107) (dual of [264, 21, 108]-code) | [i] | ||
| 22 | Linear OA(2242, 263, F2, 106) (dual of [263, 21, 107]-code) | [i] | ||
| 23 | Linear OA(2136, 156, F2, 59) (dual of [156, 20, 60]-code) | [i] | Residual Code | |
| 24 | Linear OOA(2255, 138, F2, 2, 119) (dual of [(138, 2), 21, 120]-NRT-code) | [i] | OOA Folding | |
| 25 | Linear OOA(2255, 92, F2, 3, 119) (dual of [(92, 3), 21, 120]-NRT-code) | [i] | ||