MinT - Information on Result #2484071

Information on Result #2484071

Linear OOA(2²⁵⁹, 133, F₂, 2, 155) (dual of [(133, 2), 7, 156]-NRT-code), using 2¹ times duplication based on linear OOA(2²⁵⁸, 133, F₂, 2, 155) (dual of [(133, 2), 8, 156]-NRT-code), using

3 times NRT-code embedding in larger space [i] based on linear OOA(2²⁵², 130, F₂, 2, 155) (dual of [(130, 2), 8, 156]-NRT-code), using
- 4 step truncation [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.