MinT - Information on Result #2250180

Information on Result #2250180

Linear OA(8⁸⁷, 107, F₈, 52) (dual of [107, 20, 53]-code), using 1 times truncation based on linear OA(8⁸⁸, 108, F₈, 53) (dual of [108, 20, 54]-code), using

concatenation of two codes [i] based on
1. linear OA(64²⁶, 36, F₆₄, 26) (dual of [36, 10, 27]-code or 36-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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(8⁸⁷, 53, F₈, 2, 52) (dual of [(53, 2), 19, 53]-NRT-code)	[i]		OOA Folding