Information on Result #672915

Linear OA(295, 2077, F2, 17) (dual of [2077, 1982, 18]-code), using construction X applied to C([0,8]) ⊂ C([0,6]) based on
  1. linear OA(289, 2049, F2, 17) (dual of [2049, 1960, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
  2. 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]
  3. linear OA(26, 28, F2, 3) (dual of [28, 22, 4]-code or 28-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:

ResultThis
result
only		Method
1Linear OA(295, 2077, F2, 16) (dual of [2077, 1982, 17]-code) [i]Strength Reduction
2Linear OA(296, 2078, F2, 17) (dual of [2078, 1982, 18]-code) [i]Code Embedding in Larger Space
3Linear OA(294, 2076, F2, 16) (dual of [2076, 1982, 17]-code) [i]Truncation
4Linear OOA(295, 1038, F2, 2, 17) (dual of [(1038, 2), 1981, 18]-NRT-code) [i]OOA Folding
5Linear OOA(295, 692, F2, 3, 17) (dual of [(692, 3), 1981, 18]-NRT-code) [i]
6Linear OOA(295, 519, F2, 4, 17) (dual of [(519, 4), 1981, 18]-NRT-code) [i]
7Linear OOA(295, 415, F2, 5, 17) (dual of [(415, 5), 1980, 18]-NRT-code) [i]
8Linear OOA(295, 346, F2, 6, 17) (dual of [(346, 6), 1981, 18]-NRT-code) [i]
9Linear OOA(295, 296, F2, 7, 17) (dual of [(296, 7), 1977, 18]-NRT-code) [i]
10Linear OOA(295, 259, F2, 8, 17) (dual of [(259, 8), 1977, 18]-NRT-code) [i]