MinT - Information on Result #2226899

Information on Result #2226899

Linear OA(2²⁵⁷, 419, F₂, 66) (dual of [419, 162, 67]-code), using 1 times truncation based on linear OA(2²⁵⁸, 420, F₂, 67) (dual of [420, 162, 68]-code), using

concatenation of two codes [i] based on
1. linear OA(64³³, 60, F₆₄, 33) (dual of [60, 27, 34]-code or 60-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(2²⁵⁷, 209, F₂, 2, 66) (dual of [(209, 2), 161, 67]-NRT-code)	[i]		OOA Folding
2	Linear OOA(2²⁵⁷, 139, F₂, 3, 66) (dual of [(139, 3), 160, 67]-NRT-code)	[i]		OOA Folding