MinT - Information on Result #2460757

Information on Result #2460757

Linear OOA(2²²⁷, 126, F₂, 2, 103) (dual of [(126, 2), 25, 104]-NRT-code), using 4 step truncation based on linear OOA(2²³¹, 128, F₂, 2, 107) (dual of [(128, 2), 25, 108]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(32¹¹, 16, F₃₂, 11) (dual of [16, 5, 12]-code or 16-arc in PG(10,32)), using
  - discarding factors / shortening the dual code based on linear OA(32¹¹, 32, F₃₂, 11) (dual of [32, 21, 12]-code or 32-arc in PG(10,32)), using
    - Reedâ€“Solomon code RS(21,32) [i]
2. linear OOA(2¹¹, 8, F₂, 2, 8) (dual of [(8, 2), 5, 9]-NRT-code), using
  - an explicit generator matrix by Edel [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(2²²⁷, 63, F₂, 4, 103) (dual of [(63, 4), 25, 104]-NRT-code)	[i]		OOA Folding