Information on Result #672918

Linear OA(272, 2065, F2, 13) (dual of [2065, 1993, 14]-code), using construction X applied to C([0,6]) ⊂ C([0,4]) based on
  1. linear OA(267, 2049, F2, 13) (dual of [2049, 1982, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
  2. linear OA(245, 2049, F2, 9) (dual of [2049, 2004, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
  3. linear OA(25, 16, F2, 3) (dual of [16, 11, 4]-code or 16-cap in PG(4,2)), 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:

ResultThis
result
only		Method
1Linear OA(271, 2064, F2, 12) (dual of [2064, 1993, 13]-code) [i]Truncation
2Linear OOA(272, 413, F2, 5, 13) (dual of [(413, 5), 1993, 14]-NRT-code) [i]OOA Folding
3Linear OOA(272, 344, F2, 7, 13) (dual of [(344, 7), 2336, 14]-NRT-code) [i]OOA Folding and Stacking with Additional Row
4Linear OOA(272, 344, F2, 8, 13) (dual of [(344, 8), 2680, 14]-NRT-code) [i]
5Linear OOA(272, 344, F2, 13, 13) (dual of [(344, 13), 4400, 14]-NRT-code) [i]