MinT - Information on Result #2484076

Information on Result #2484076

Linear OOA(2²⁵⁹, 133, F₂, 2, 156) (dual of [(133, 2), 7, 157]-NRT-code), using 2¹ times duplication based on linear OOA(2²⁵⁸, 133, F₂, 2, 156) (dual of [(133, 2), 8, 157]-NRT-code), using

2 times NRT-code embedding in larger space [i] based on linear OOA(2²⁵⁴, 131, F₂, 2, 156) (dual of [(131, 2), 8, 157]-NRT-code), using
- 2 step truncation [i] based on linear OOA(2²⁵⁶, 132, F₂, 2, 158) (dual of [(132, 2), 8, 159]-NRT-code), using
  - strength reduction [i] based on linear OOA(2²⁵⁶, 132, F₂, 2, 159) (dual of [(132, 2), 8, 160]-NRT-code), using
    - concatenation of two NRT-codes [i] based on
      1. linear OA(4⁴⁰, 44, F₄, 31) (dual of [44, 4, 32]-code), using
        a quasi-cyclic code by Gulliver and Bhargava [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

None.