MinT - Information on Result #2610945

Information on Result #2610945

Linear OOA(2⁹², 36, F₂, 3, 50) (dual of [(36, 3), 16, 51]-NRT-code), using strength reduction based on linear OOA(2⁹², 36, F₂, 3, 53) (dual of [(36, 3), 16, 54]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(16⁸, 12, F₁₆, 8) (dual of [12, 4, 9]-code or 12-arc in PG(7,16)), using
  - discarding factors / shortening the dual code based on linear OA(16⁸, 16, F₁₆, 8) (dual of [16, 8, 9]-code or 16-arc in PG(7,16)), using
    - Reedâ€“Solomon code RS(8,16) [i]
2. linear OOA(2⁵, 3, F₂, 3, 5) (dual of [(3, 3), 4, 6]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(3;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(2⁹², 18, F₂, 6, 50) (dual of [(18, 6), 16, 51]-NRT-code)	[i]		OOA Folding