MinT - Information on Result #2251110

Information on Result #2251110

Linear OA(8¹¹², 164, F₈, 58) (dual of [164, 52, 59]-code), using 1 times truncation based on linear OA(8¹¹³, 165, F₈, 59) (dual of [165, 52, 60]-code), using

concatenation of two codes [i] based on
1. linear OA(64²⁹, 55, F₆₄, 29) (dual of [55, 26, 30]-code or 55-arc in PG(28,64)), using
  - discarding factors / shortening the dual code based on linear OA(64²⁹, 64, F₆₄, 29) (dual of [64, 35, 30]-code or 64-arc in PG(28,64)), using
    - Reedâ€“Solomon code RS(35,64) [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(8¹¹², 82, F₈, 2, 58) (dual of [(82, 2), 52, 59]-NRT-code)	[i]		OOA Folding