MinT - Information on Result #2657276

Information on Result #2657276

Linear OOA(2²⁰⁶, 92, F₂, 3, 86) (dual of [(92, 3), 70, 87]-NRT-code), using 3 step truncation based on linear OOA(2²⁰⁹, 93, F₂, 3, 89) (dual of [(93, 3), 70, 90]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(32¹⁷, 31, F₃₂, 17) (dual of [31, 14, 18]-code or 31-arc in PG(16,32)), using
  - discarding factors / shortening the dual code based on linear OA(32¹⁷, 32, F₃₂, 17) (dual of [32, 15, 18]-code or 32-arc in PG(16,32)), using
    - Reedâ€“Solomon code RS(15,32) [i]
2. linear OOA(2⁴, 3, F₂, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(3;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(2²⁰⁶, 46, F₂, 5, 86) (dual of [(46, 5), 24, 87]-NRT-code)	[i]		OOA Folding
2	Linear OOA(2²⁰⁶, 46, F₂, 6, 86) (dual of [(46, 6), 70, 87]-NRT-code)	[i]		OOA Folding