Information on Result #673570
Linear OA(2256, 285, F2, 107) (dual of [285, 29, 108]-code), using construction X applied to Ce(110) ⊂ Ce(94) based on
- 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(2227, 256, F2, 95) (dual of [256, 29, 96]-code), using an extension Ce(94) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,94], and designed minimum distance d ≥ |I|+1 = 95 [i]
- linear OA(221, 29, F2, 11) (dual of [29, 8, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(221, 31, F2, 11) (dual of [31, 10, 12]-code), using
- code C1 for u = 5 by de Boer and Brouwer [i]
- discarding factors / shortening the dual code based on linear OA(221, 31, F2, 11) (dual of [31, 10, 12]-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(2256, 285, F2, 106) (dual of [285, 29, 107]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2256, 285, F2, 105) (dual of [285, 29, 106]-code) | [i] | ||
| 3 | Linear OA(2256, 285, F2, 104) (dual of [285, 29, 105]-code) | [i] | ||
| 4 | Linear OA(2257, 286, F2, 107) (dual of [286, 29, 108]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(2258, 287, F2, 107) (dual of [287, 29, 108]-code) | [i] | ||
| 6 | Linear OA(2259, 288, F2, 107) (dual of [288, 29, 108]-code) | [i] | ||
| 7 | Linear OA(2255, 284, F2, 106) (dual of [284, 29, 107]-code) | [i] | Truncation | |
| 8 | Linear OA(2254, 283, F2, 105) (dual of [283, 29, 106]-code) | [i] | ||
| 9 | Linear OA(2253, 282, F2, 104) (dual of [282, 29, 105]-code) | [i] | ||
| 10 | Linear OOA(2256, 95, F2, 3, 107) (dual of [(95, 3), 29, 108]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(2256, 57, F2, 5, 107) (dual of [(57, 5), 29, 108]-NRT-code) | [i] | ||