Information on Result #1009172

Linear OOA(2177, 2800296, F2, 3, 13) (dual of [(2800296, 3), 8400711, 14]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(238, 4095, F2, 3, 6) (dual of [(4095, 3), 12247, 7]-NRT-code), using
  2. linear OOA(2139, 2796201, F2, 3, 13) (dual of [(2796201, 3), 8388464, 14]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(2139, large, F2, 13) (dual of [large, large−139, 14]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(2177, 2800296, F2, 3, 12) (dual of [(2800296, 3), 8400711, 13]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2178, 2800296, F2, 3, 13) (dual of [(2800296, 3), 8400710, 14]-NRT-code) [i]OOA Duplication
3Linear OOA(2244, 5600592, F2, 3, 13) (dual of [(5600592, 3), 16801532, 14]-NRT-code) [i](u, u+v)-Construction for OOAs
4Linear OOA(2177, 2739446, F2, 4, 13) (dual of [(2739446, 4), 10957607, 14]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
5Linear OOA(2177, 2739446, F2, 5, 13) (dual of [(2739446, 5), 13697053, 14]-NRT-code) [i]
6Linear OOA(2177, 2739446, F2, 6, 13) (dual of [(2739446, 6), 16436499, 14]-NRT-code) [i]
7Linear OOA(2177, 2739446, F2, 7, 13) (dual of [(2739446, 7), 19175945, 14]-NRT-code) [i]
8Linear OOA(2177, 2739446, F2, 8, 13) (dual of [(2739446, 8), 21915391, 14]-NRT-code) [i]
9Digital (164, 177, 2739446)-net over F2 [i]
10Linear OOA(2177, 1400148, F2, 6, 13) (dual of [(1400148, 6), 8400711, 14]-NRT-code) [i]OOA Folding