Information on Result #630227

Linear OA(2256, 304, F2, 95) (dual of [304, 48, 96]-code), using concatenation of two codes based on
  1. linear OA(1626, 38, F16, 23) (dual of [38, 12, 24]-code), using
  2. linear OA(24, 8, F2, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), 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(2256, 304, F2, 94) (dual of [304, 48, 95]-code) [i]Strength Reduction
2Linear OA(2256, 304, F2, 93) (dual of [304, 48, 94]-code) [i]
3Linear OA(2256, 304, F2, 92) (dual of [304, 48, 93]-code) [i]
4Linear OA(2257, 305, F2, 95) (dual of [305, 48, 96]-code) [i]Code Embedding in Larger Space
5Linear OA(2258, 306, F2, 95) (dual of [306, 48, 96]-code) [i]
6Linear OA(2259, 307, F2, 95) (dual of [307, 48, 96]-code) [i]
7Linear OA(2260, 308, F2, 95) (dual of [308, 48, 96]-code) [i]
8Linear OA(2255, 303, F2, 94) (dual of [303, 48, 95]-code) [i]Truncation
9Linear OA(2254, 302, F2, 93) (dual of [302, 48, 94]-code) [i]
10Linear OA(2253, 301, F2, 92) (dual of [301, 48, 93]-code) [i]
11Linear OOA(2256, 152, F2, 2, 95) (dual of [(152, 2), 48, 96]-NRT-code) [i]OOA Folding