MinT - Information on Result #2459637

Information on Result #2459637

Linear OOA(2²³³, 121, F₂, 2, 132) (dual of [(121, 2), 9, 133]-NRT-code), using 15 step truncation based on linear OOA(2²⁴⁸, 129, F₂, 2, 147) (dual of [(129, 2), 10, 148]-NRT-code), using

strength reduction [i] based on linear OOA(2²⁴⁸, 129, F₂, 2, 149) (dual of [(129, 2), 10, 150]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(4³⁸, 43, F₄, 29) (dual of [43, 5, 30]-code), using
    - an explicit generator matrix [i]
  2. linear OOA(2⁴, 3, F₂, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;2,2) [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(2²⁴³, 124, F₂, 2, 137) (dual of [(124, 2), 5, 138]-NRT-code)	[i]		Juxtaposition for OOAs