MinT - Information on Result #2417016

Information on Result #2417016

Linear OOA(2⁵⁶, 42, F₂, 2, 22) (dual of [(42, 2), 28, 23]-NRT-code), using strength reduction based on linear OOA(2⁵⁶, 42, F₂, 2, 23) (dual of [(42, 2), 28, 24]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(16⁷, 14, F₁₆, 7) (dual of [14, 7, 8]-code or 14-arc in PG(6,16)), using
  - discarding factors / shortening the dual code based on linear OA(16⁷, 16, F₁₆, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), using
    - Reedâ€“Solomon code RS(9,16) [i]
2. linear OOA(2², 3, F₂, 2, 2) (dual of [(3, 2), 4, 3]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;4,2) [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(2⁵⁶, 21, F₂, 4, 22) (dual of [(21, 4), 28, 23]-NRT-code)	[i]		OOA Folding