MinT - Information on Result #2766541

Information on Result #2766541

Linear OOA(2²³⁴, 78, F₂, 4, 94) (dual of [(78, 4), 78, 95]-NRT-code), using strength reduction based on linear OOA(2²³⁴, 78, F₂, 4, 97) (dual of [(78, 4), 78, 98]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(64¹³, 26, F₆₄, 13) (dual of [26, 13, 14]-code or 26-arc in PG(12,64)), using
  - discarding factors / shortening the dual code based on linear OA(64¹³, 64, F₆₄, 13) (dual of [64, 51, 14]-code or 64-arc in PG(12,64)), using
    - Reedâ€“Solomon code RS(51,64) [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		Method
1	Linear OOA(2²³⁵, 78, F₂, 4, 94) (dual of [(78, 4), 77, 95]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(2²³³, 77, F₂, 4, 93) (dual of [(77, 4), 75, 94]-NRT-code)	[i]	Truncation for OOAs
3	Linear OOA(2²³⁴, 39, F₂, 7, 94) (dual of [(39, 7), 39, 95]-NRT-code)	[i]	OOA Folding
4	Linear OOA(2²³⁴, 39, F₂, 8, 94) (dual of [(39, 8), 78, 95]-NRT-code)	[i]	OOA Folding