Information on Result #673533
Linear OA(271, 279, F2, 17) (dual of [279, 208, 18]-code), using construction X applied to C([0,8]) ⊂ C([0,6]) based on
- linear OA(265, 257, F2, 17) (dual of [257, 192, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 216−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(249, 257, F2, 13) (dual of [257, 208, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 216−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(26, 22, F2, 3) (dual of [22, 16, 4]-code or 22-cap in PG(5,2)), using
- discarding factors / shortening the dual code based on linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), 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 OOA(271, 93, F2, 3, 17) (dual of [(93, 3), 208, 18]-NRT-code) | [i] | OOA Folding | |