MinT - Information on Result #2226039

Information on Result #2226039

Linear OA(2¹⁸⁸, 356, F₂, 46) (dual of [356, 168, 47]-code), using 1 times truncation based on linear OA(2¹⁸⁹, 357, F₂, 47) (dual of [357, 168, 48]-code), using

concatenation of two codes [i] based on
1. linear OA(64²³, 51, F₆₄, 23) (dual of [51, 28, 24]-code or 51-arc in PG(22,64)), using
  - discarding factors / shortening the dual code based on linear OA(64²³, 64, F₆₄, 23) (dual of [64, 41, 24]-code or 64-arc in PG(22,64)), using
    - Reedâ€“Solomon code RS(41,64) [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(2¹⁸⁸, 178, F₂, 2, 46) (dual of [(178, 2), 168, 47]-NRT-code)	[i]		OOA Folding
2	Linear OOA(2¹⁸⁸, 118, F₂, 3, 46) (dual of [(118, 3), 166, 47]-NRT-code)	[i]		OOA Folding