MinT - Information on Result #2226906

Information on Result #2226906

Linear OA(2²⁵⁸, 426, F₂, 66) (dual of [426, 168, 67]-code), using 1 times truncation based on linear OA(2²⁵⁹, 427, F₂, 67) (dual of [427, 168, 68]-code), using

concatenation of two codes [i] based on
1. linear OA(64³³, 61, F₆₄, 33) (dual of [61, 28, 34]-code or 61-arc in PG(32,64)), using
  - discarding factors / shortening the dual code based on linear OA(64³³, 64, F₆₄, 33) (dual of [64, 31, 34]-code or 64-arc in PG(32,64)), using
    - Reedâ€“Solomon code RS(31,64) [i]
2. linear OA(2¹, 7, F₂, 1) (dual of [7, 6, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(2¹, s, F₂, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
    - parity-check code [i]

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:

	Result		This result only	Method
1	Linear OOA(2²⁵⁸, 213, F₂, 2, 66) (dual of [(213, 2), 168, 67]-NRT-code)	[i]		OOA Folding
2	Linear OOA(2²⁵⁸, 142, F₂, 3, 66) (dual of [(142, 3), 168, 67]-NRT-code)	[i]		OOA Folding