Information on Result #673548
Linear OA(2244, 265, F2, 113) (dual of [265, 21, 114]-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(21, 9, F2, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(2244, 265, F2, 112) (dual of [265, 21, 113]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2244, 265, F2, 111) (dual of [265, 21, 112]-code) | [i] | ||
| 3 | Linear OA(2244, 265, F2, 110) (dual of [265, 21, 111]-code) | [i] | ||
| 4 | Linear OA(2244, 265, F2, 109) (dual of [265, 21, 110]-code) | [i] | ||
| 5 | Linear OA(2244, 265, F2, 108) (dual of [265, 21, 109]-code) | [i] | ||
| 6 | Linear OA(2245, 266, F2, 113) (dual of [266, 21, 114]-code) | [i] | Code Embedding in Larger Space | |
| 7 | Linear OA(2256, 277, F2, 113) (dual of [277, 21, 114]-code) | [i] | ||
| 8 | Linear OA(2258, 279, F2, 113) (dual of [279, 21, 114]-code) | [i] | ||
| 9 | Linear OA(2259, 280, F2, 113) (dual of [280, 21, 114]-code) | [i] | ||
| 10 | Linear OA(2243, 264, F2, 112) (dual of [264, 21, 113]-code) | [i] | Truncation | |
| 11 | Linear OA(2242, 263, F2, 111) (dual of [263, 21, 112]-code) | [i] | ||
| 12 | Linear OA(2241, 262, F2, 110) (dual of [262, 21, 111]-code) | [i] | ||
| 13 | Linear OA(2240, 261, F2, 109) (dual of [261, 21, 110]-code) | [i] | ||
| 14 | Linear OA(2239, 260, F2, 108) (dual of [260, 21, 109]-code) | [i] | ||
| 15 | Linear OA(2238, 259, F2, 107) (dual of [259, 21, 108]-code) | [i] | ||
| 16 | Linear OA(2237, 258, F2, 106) (dual of [258, 21, 107]-code) | [i] | ||
| 17 | Linear OA(2236, 257, F2, 105) (dual of [257, 21, 106]-code) | [i] | ||
| 18 | Linear OA(2234, 255, F2, 103) (dual of [255, 21, 104]-code) | [i] | ||
| 19 | Linear OA(2233, 254, F2, 102) (dual of [254, 21, 103]-code) | [i] | ||
| 20 | Linear OA(2131, 151, F2, 56) (dual of [151, 20, 57]-code) | [i] | Residual Code | |
| 21 | Linear OOA(2244, 53, F2, 5, 113) (dual of [(53, 5), 21, 114]-NRT-code) | [i] | OOA Folding | |