MinT - Information on Result #2783921

Information on Result #2783921

Linear OOA(2²²⁸, 70, F₂, 4, 106) (dual of [(70, 4), 52, 107]-NRT-code), using 5 step truncation based on linear OOA(2²³³, 72, F₂, 4, 111) (dual of [(72, 4), 55, 112]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(32¹³, 24, F₃₂, 13) (dual of [24, 11, 14]-code or 24-arc in PG(12,32)), using
  - discarding factors / shortening the dual code based on linear OA(32¹³, 32, F₃₂, 13) (dual of [32, 19, 14]-code or 32-arc in PG(12,32)), using
    - Reedâ€“Solomon code RS(19,32) [i]
2. linear OOA(2⁷, 3, F₂, 4, 7) (dual of [(3, 4), 5, 8]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(4;5,2) [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(2²²⁸, 35, F₂, 7, 106) (dual of [(35, 7), 17, 107]-NRT-code)	[i]		OOA Folding
2	Linear OOA(2²²⁸, 35, F₂, 8, 106) (dual of [(35, 8), 52, 107]-NRT-code)	[i]		OOA Folding