MinT - Information on Result #2251313

Information on Result #2251313

Linear OA(8¹³⁸, 182, F₈, 78) (dual of [182, 44, 79]-code), using 1 times truncation based on linear OA(8¹³⁹, 183, F₈, 79) (dual of [183, 44, 80]-code), using

concatenation of two codes [i] based on
1. linear OA(64³⁹, 61, F₆₄, 39) (dual of [61, 22, 40]-code or 61-arc in PG(38,64)), using
  - discarding factors / shortening the dual code based on linear OA(64³⁹, 64, F₆₄, 39) (dual of [64, 25, 40]-code or 64-arc in PG(38,64)), using
    - Reedâ€“Solomon code RS(25,64) [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(8¹³⁸, 91, F₈, 2, 78) (dual of [(91, 2), 44, 79]-NRT-code)	[i]		OOA Folding
2	Linear OOA(8¹³⁸, 60, F₈, 3, 78) (dual of [(60, 3), 42, 79]-NRT-code)	[i]		OOA Folding