Information on Result #699817

Linear OA(12877, 2097195, F128, 23) (dual of [2097195, 2097118, 24]-code), using construction X applied to Ce(22) ⊂ Ce(11) based on
  1. linear OA(12867, 2097152, F128, 23) (dual of [2097152, 2097085, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  2. linear OA(12834, 2097152, F128, 12) (dual of [2097152, 2097118, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
  3. linear OA(12810, 43, F128, 10) (dual of [43, 33, 11]-code or 43-arc in PG(9,128)), 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 OOA(12877, 2097195, F128, 2, 23) (dual of [(2097195, 2), 4194313, 24]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(12877, 2097195, F128, 3, 23) (dual of [(2097195, 3), 6291508, 24]-NRT-code) [i]
3Linear OOA(12877, 2097195, F128, 4, 23) (dual of [(2097195, 4), 8388703, 24]-NRT-code) [i]
4Digital (54, 77, 2097195)-net over F128 [i]
5Linear OOA(12877, 1048597, F128, 2, 23) (dual of [(1048597, 2), 2097117, 24]-NRT-code) [i]OOA Folding
6Linear OOA(12877, 699065, F128, 3, 23) (dual of [(699065, 3), 2097118, 24]-NRT-code) [i]
7Linear OOA(12877, 190654, F128, 23, 23) (dual of [(190654, 23), 4384965, 24]-NRT-code) [i]OOA Folding and Stacking with Additional Row