MinT - Information on Result #2480875

Information on Result #2480875

Linear OOA(2⁸⁹, 50, F₂, 2, 46) (dual of [(50, 2), 11, 47]-NRT-code), using 2¹ times duplication based on linear OOA(2⁸⁸, 50, F₂, 2, 46) (dual of [(50, 2), 12, 47]-NRT-code), using

2 times NRT-code embedding in larger space [i] based on linear OOA(2⁸⁴, 48, F₂, 2, 46) (dual of [(48, 2), 12, 47]-NRT-code), using
- strength reduction [i] based on linear OOA(2⁸⁴, 48, F₂, 2, 47) (dual of [(48, 2), 12, 48]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. linear OA(8¹², 16, F₈, 11) (dual of [16, 4, 12]-code), using
      - a code by Marcugini, Milani, and Pambianco [i]
    2. linear OOA(2³, 3, F₂, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(2;3,2) [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.