Information on Result #673622
Linear OA(278, 265, F2, 21) (dual of [265, 187, 22]-code), using construction X applied to Ce(20) ⊂ Ce(18) based on
- linear OA(277, 256, F2, 21) (dual of [256, 179, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(269, 256, F2, 19) (dual of [256, 187, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(277, 264, F2, 20) (dual of [264, 187, 21]-code) | [i] | Truncation | |
| 2 | Linear OOA(278, 132, F2, 2, 21) (dual of [(132, 2), 186, 22]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(278, 88, F2, 3, 21) (dual of [(88, 3), 186, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(278, 66, F2, 4, 21) (dual of [(66, 4), 186, 22]-NRT-code) | [i] | ||
| 5 | Linear OOA(278, 53, F2, 5, 21) (dual of [(53, 5), 187, 22]-NRT-code) | [i] | ||
| 6 | Linear OOA(278, 44, F2, 6, 21) (dual of [(44, 6), 186, 22]-NRT-code) | [i] | ||