Information on Result #1009180

Linear OOA(2191, 2927272, F2, 3, 13) (dual of [(2927272, 3), 8781625, 14]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(252, 131071, F2, 3, 6) (dual of [(131071, 3), 393161, 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(2191, 2927272, F2, 3, 12) (dual of [(2927272, 3), 8781625, 13]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2192, 2927272, F2, 3, 13) (dual of [(2927272, 3), 8781624, 14]-NRT-code) [i]OOA Duplication
3Linear OOA(2193, 2927272, F2, 3, 13) (dual of [(2927272, 3), 8781623, 14]-NRT-code) [i]
4Linear OOA(2258, 5854544, F2, 3, 13) (dual of [(5854544, 3), 17563374, 14]-NRT-code) [i](u, u+v)-Construction for OOAs
5Linear OOA(2191, 2927272, F2, 4, 13) (dual of [(2927272, 4), 11708897, 14]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
6Linear OOA(2191, 2927272, F2, 5, 13) (dual of [(2927272, 5), 14636169, 14]-NRT-code) [i]
7Linear OOA(2191, 2927272, F2, 6, 13) (dual of [(2927272, 6), 17563441, 14]-NRT-code) [i]
8Linear OOA(2191, 2927272, F2, 7, 13) (dual of [(2927272, 7), 20490713, 14]-NRT-code) [i]
9Linear OOA(2191, 2927272, F2, 8, 13) (dual of [(2927272, 8), 23417985, 14]-NRT-code) [i]
10Digital (178, 191, 2927272)-net over F2 [i]
11Linear OOA(2191, 1463636, F2, 6, 13) (dual of [(1463636, 6), 8781625, 14]-NRT-code) [i]OOA Folding