Information on Result #1568309

Linear OOA(2169, 2797224, F2, 3, 12) (dual of [(2797224, 3), 8391503, 13]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(231, 1023, F2, 3, 6) (dual of [(1023, 3), 3038, 7]-NRT-code), using
  2. linear OOA(2138, 2796201, F2, 3, 12) (dual of [(2796201, 3), 8388465, 13]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(2138, large, F2, 12) (dual of [large, large−138, 13]-code), using
      • the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]

Mode: 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(2169, 2797224, F2, 4, 12) (dual of [(2797224, 4), 11188727, 13]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(2169, 2797224, F2, 5, 12) (dual of [(2797224, 5), 13985951, 13]-NRT-code) [i]
3Linear OOA(2169, 2797224, F2, 6, 12) (dual of [(2797224, 6), 16783175, 13]-NRT-code) [i]
4Linear OOA(2169, 2797224, F2, 7, 12) (dual of [(2797224, 7), 19580399, 13]-NRT-code) [i]
5Linear OOA(2169, 2797224, F2, 8, 12) (dual of [(2797224, 8), 22377623, 13]-NRT-code) [i]
6Digital (157, 169, 2797224)-net over F2 [i]