MinT - Information on Result #2250903

Information on Result #2250903

Linear OA(8¹¹³, 149, F₈, 64) (dual of [149, 36, 65]-code), using 1 times truncation based on linear OA(8¹¹⁴, 150, F₈, 65) (dual of [150, 36, 66]-code), using

concatenation of two codes [i] based on
1. linear OA(64³², 50, F₆₄, 32) (dual of [50, 18, 33]-code or 50-arc in PG(31,64)), using
  - discarding factors / shortening the dual code based on linear OA(64³², 64, F₆₄, 32) (dual of [64, 32, 33]-code or 64-arc in PG(31,64)), using
    - Reedâ€“Solomon code RS(32,64) [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(8¹¹³, 74, F₈, 2, 64) (dual of [(74, 2), 35, 65]-NRT-code)	[i]		OOA Folding