MinT - Information on Result #2250820

Information on Result #2250820

Linear OA(8⁹⁷, 143, F₈, 50) (dual of [143, 46, 51]-code), using 1 times truncation based on linear OA(8⁹⁸, 144, F₈, 51) (dual of [144, 46, 52]-code), using

concatenation of two codes [i] based on
1. linear OA(64²⁵, 48, F₆₄, 25) (dual of [48, 23, 26]-code or 48-arc in PG(24,64)), using
  - discarding factors / shortening the dual code based on linear OA(64²⁵, 64, F₆₄, 25) (dual of [64, 39, 26]-code or 64-arc in PG(24,64)), using
    - Reedâ€“Solomon code RS(39,64) [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(8⁹⁷, 71, F₈, 2, 50) (dual of [(71, 2), 45, 51]-NRT-code)	[i]		OOA Folding