MinT - Information on Result #2226843

Information on Result #2226843

Linear OA(2²⁴⁹, 405, F₂, 64) (dual of [405, 156, 65]-code), using 1 times truncation based on linear OA(2²⁵⁰, 406, F₂, 65) (dual of [406, 156, 66]-code), using

concatenation of two codes [i] based on
1. linear OA(64³², 58, F₆₄, 32) (dual of [58, 26, 33]-code or 58-arc in PG(31,64)), using
  - discarding factors / shortening the dual code based on linear OA(64³², 64, F₆₄, 32) (dual of [64, 32, 33]-code or 64-arc in PG(31,64)), using
    - Reedâ€“Solomon code RS(32,64) [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(2²⁴⁹, 202, F₂, 2, 64) (dual of [(202, 2), 155, 65]-NRT-code)	[i]		OOA Folding
2	Linear OOA(2²⁴⁹, 135, F₂, 3, 64) (dual of [(135, 3), 156, 65]-NRT-code)	[i]		OOA Folding