MinT - Information on Result #2251279

Information on Result #2251279

Linear OA(8¹⁴³, 179, F₈, 84) (dual of [179, 36, 85]-code), using 1 times truncation based on linear OA(8¹⁴⁴, 180, F₈, 85) (dual of [180, 36, 86]-code), using

concatenation of two codes [i] based on
1. linear OA(64⁴², 60, F₆₄, 42) (dual of [60, 18, 43]-code or 60-arc in PG(41,64)), using
  - discarding factors / shortening the dual code based on linear OA(64⁴², 64, F₆₄, 42) (dual of [64, 22, 43]-code or 64-arc in PG(41,64)), using
    - Reedâ€“Solomon code RS(22,64) [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(8¹⁴³, 89, F₈, 2, 84) (dual of [(89, 2), 35, 85]-NRT-code)	[i]		OOA Folding
2	Linear OOA(8¹⁴³, 59, F₈, 3, 84) (dual of [(59, 3), 34, 85]-NRT-code)	[i]		OOA Folding