MinT - Information on Result #2784369

Information on Result #2784369

Linear OOA(2²⁵⁷, 80, F₂, 4, 117) (dual of [(80, 4), 63, 118]-NRT-code), using 1 step truncation based on linear OOA(2²⁵⁸, 81, F₂, 4, 118) (dual of [(81, 4), 66, 119]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(64¹⁶, 27, F₆₄, 16) (dual of [27, 11, 17]-code or 27-arc in PG(15,64)), using
  - discarding factors / shortening the dual code based on linear OA(64¹⁶, 64, F₆₄, 16) (dual of [64, 48, 17]-code or 64-arc in PG(15,64)), using
    - Reedâ€“Solomon code RS(48,64) [i]
2. linear OOA(2⁶, 3, F₂, 4, 6) (dual of [(3, 4), 6, 7]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(4;6,2) [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(2²⁵⁷, 40, F₂, 7, 117) (dual of [(40, 7), 23, 118]-NRT-code)	[i]		OOA Folding
2	Linear OOA(2²⁵⁷, 40, F₂, 8, 117) (dual of [(40, 8), 63, 118]-NRT-code)	[i]		OOA Folding