MinT - Information on Result #2251225

Information on Result #2251225

Linear OA(8¹⁰⁹, 173, F₈, 52) (dual of [173, 64, 53]-code), using 1 times truncation based on linear OA(8¹¹⁰, 174, F₈, 53) (dual of [174, 64, 54]-code), using

concatenation of two codes [i] based on
1. linear OA(64²⁶, 58, F₆₄, 26) (dual of [58, 32, 27]-code or 58-arc in PG(25,64)), using
  - discarding factors / shortening the dual code based on linear OA(64²⁶, 64, F₆₄, 26) (dual of [64, 38, 27]-code or 64-arc in PG(25,64)), using
    - Reedâ€“Solomon code RS(38,64) [i]
2. linear OA(8¹, 3, F₈, 1) (dual of [3, 2, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(8¹, s, F₈, 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

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(8¹⁰⁹, 86, F₈, 2, 52) (dual of [(86, 2), 63, 53]-NRT-code)	[i]		OOA Folding