MinT - Information on Result #948382

Information on Result #948382

Linear OOA(2¹⁷⁶, 116, F₂, 3, 43) (dual of [(116, 3), 172, 44]-NRT-code), using OOA 3-folding based on linear OA(2¹⁷⁶, 348, F₂, 43) (dual of [348, 172, 44]-code), using

discarding factors / shortening the dual code based on linear OA(2¹⁷⁶, 350, F₂, 43) (dual of [350, 174, 44]-code), using
- concatenation of two codes [i] based on
  1. linear OA(64²¹, 50, F₆₄, 21) (dual of [50, 29, 22]-code or 50-arc in PG(20,64)), using
    - discarding factors / shortening the dual code based on linear OA(64²¹, 64, F₆₄, 21) (dual of [64, 43, 22]-code or 64-arc in PG(20,64)), using
      - Reedâ€“Solomon code RS(43,64) [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.