MinT - Information on Result #948558

Information on Result #948558

Linear OOA(2¹⁸⁴, 121, F₂, 3, 45) (dual of [(121, 3), 179, 46]-NRT-code), using OOA 3-folding based on linear OA(2¹⁸⁴, 363, F₂, 45) (dual of [363, 179, 46]-code), using

discarding factors / shortening the dual code based on linear OA(2¹⁸⁴, 364, F₂, 45) (dual of [364, 180, 46]-code), using
- concatenation of two codes [i] based on
  1. linear OA(64²², 52, F₆₄, 22) (dual of [52, 30, 23]-code or 52-arc in PG(21,64)), using
    - discarding factors / shortening the dual code based on linear OA(64²², 64, F₆₄, 22) (dual of [64, 42, 23]-code or 64-arc in PG(21,64)), using
      - Reedâ€“Solomon code RS(42,64) [i]
  2. linear OA(2¹, 7, F₂, 1) (dual of [7, 6, 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.