MinT - Information on Result #2460027

Information on Result #2460027

Linear OOA(2²⁵⁸, 134, F₂, 2, 150) (dual of [(134, 2), 10, 151]-NRT-code), using 2 step truncation based on linear OOA(2²⁶⁰, 135, F₂, 2, 152) (dual of [(135, 2), 10, 153]-NRT-code), using

strength reduction [i] based on linear OOA(2²⁶⁰, 135, F₂, 2, 154) (dual of [(135, 2), 10, 155]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(4⁴⁰, 45, F₄, 30) (dual of [45, 5, 31]-code), using
    - 1 times truncation [i] based on linear OA(4⁴¹, 46, F₄, 31) (dual of [46, 5, 32]-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(2²⁵⁸, 67, F₂, 4, 150) (dual of [(67, 4), 10, 151]-NRT-code)	[i]		OOA Folding