MinT - Information on Result #1054743

Information on Result #1054743

Linear OOA(2¹⁶⁵, 90, F₂, 4, 42) (dual of [(90, 4), 195, 43]-NRT-code), using OOA 2-folding based on linear OOA(2¹⁶⁵, 180, F₂, 2, 42) (dual of [(180, 2), 195, 43]-NRT-code), using

strength reduction [i] based on linear OOA(2¹⁶⁵, 180, F₂, 2, 43) (dual of [(180, 2), 195, 44]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OOA(32²¹, 30, F₃₂, 2, 21) (dual of [(30, 2), 39, 22]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(32²¹, 32, F₃₂, 2, 21) (dual of [(32, 2), 43, 22]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(2;43,32) [i]
  2. linear OA(2¹, 6, F₂, 1) (dual of [6, 5, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(2¹, s, F₂, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
      - parity-check code [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.