MinT - Information on Result #2784112

Information on Result #2784112

Linear OOA(2²⁵², 76, F₂, 4, 122) (dual of [(76, 4), 52, 123]-NRT-code), using 5 step truncation based on linear OOA(2²⁵⁷, 78, F₂, 4, 127) (dual of [(78, 4), 55, 128]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(32¹⁵, 26, F₃₂, 15) (dual of [26, 11, 16]-code or 26-arc in PG(14,32)), using
  - discarding factors / shortening the dual code based on linear OA(32¹⁵, 32, F₃₂, 15) (dual of [32, 17, 16]-code or 32-arc in PG(14,32)), using
    - Reedâ€“Solomon code RS(17,32) [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(2²⁵², 38, F₂, 7, 122) (dual of [(38, 7), 14, 123]-NRT-code)	[i]		OOA Folding
2	Linear OOA(2²⁵², 38, F₂, 8, 122) (dual of [(38, 8), 52, 123]-NRT-code)	[i]		OOA Folding