MinT - Information on Result #2251183

Information on Result #2251183

Linear OA(8¹²⁰, 170, F₈, 64) (dual of [170, 50, 65]-code), using 1 times truncation based on linear OA(8¹²¹, 171, F₈, 65) (dual of [171, 50, 66]-code), using

concatenation of two codes [i] based on
1. linear OA(64³², 57, F₆₄, 32) (dual of [57, 25, 33]-code or 57-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(8¹²⁰, 85, F₈, 2, 64) (dual of [(85, 2), 50, 65]-NRT-code)	[i]		OOA Folding