MinT - Information on Result #2795477

Information on Result #2795477

Linear OOA(2²³², 76, F₂, 4, 97) (dual of [(76, 4), 72, 98]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(2²²⁸, 75, F₂, 4, 97) (dual of [(75, 4), 72, 98]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(64¹³, 25, F₆₄, 13) (dual of [25, 12, 14]-code or 25-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		This result only	Method
1	Linear OOA(2²³², 38, F₂, 7, 97) (dual of [(38, 7), 34, 98]-NRT-code)	[i]		OOA Folding
2	Linear OOA(2²³², 38, F₂, 8, 97) (dual of [(38, 8), 72, 98]-NRT-code)	[i]		OOA Folding