MinT - Information on Result #2212999

Information on Result #2212999

Linear OA(8⁹⁶, 116, F₈, 58) (dual of [116, 20, 59]-code), using strength reduction based on linear OA(8⁹⁶, 116, F₈, 59) (dual of [116, 20, 60]-code), using

concatenation of two codes [i] based on
1. linear OA(64¹⁹, 29, F₆₄, 19) (dual of [29, 10, 20]-code or 29-arc in PG(18,64)), using
  - discarding factors / shortening the dual code based on linear OA(64¹⁹, 64, F₆₄, 19) (dual of [64, 45, 20]-code or 64-arc in PG(18,64)), using
    - Reedâ€“Solomon code RS(45,64) [i]
2. linear OA(8², 4, F₈, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,8)), using
  - discarding factors / shortening the dual code based on linear OA(8², 8, F₈, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), using
    - Reedâ€“Solomon code RS(6,8) [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(8⁹⁶, 58, F₈, 2, 58) (dual of [(58, 2), 20, 59]-NRT-code)	[i]		OOA Folding