MinT - Information on Result #2783837

Information on Result #2783837

Linear OOA(2²⁵³, 74, F₂, 4, 133) (dual of [(74, 4), 43, 134]-NRT-code), using 2 step truncation based on linear OOA(2²⁵⁵, 75, F₂, 4, 135) (dual of [(75, 4), 45, 136]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(32¹⁶, 25, F₃₂, 16) (dual of [25, 9, 17]-code or 25-arc in PG(15,32)), using
  - discarding factors / shortening the dual code based on linear OA(32¹⁶, 32, F₃₂, 16) (dual of [32, 16, 17]-code or 32-arc in PG(15,32)), using
    - Reedâ€“Solomon code RS(16,32) [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(2²⁵³, 37, F₂, 7, 133) (dual of [(37, 7), 6, 134]-NRT-code)	[i]		OOA Folding
2	Linear OOA(2²⁵³, 37, F₂, 8, 133) (dual of [(37, 8), 43, 134]-NRT-code)	[i]		OOA Folding