MinT - Information on Result #2234208

Information on Result #2234208

Linear OA(3¹⁹³, 329, F₃, 64) (dual of [329, 136, 65]-code), using 1 times truncation based on linear OA(3¹⁹⁴, 330, F₃, 65) (dual of [330, 136, 66]-code), using

concatenation of two codes [i] based on
1. linear OA(81³², 66, F₈₁, 32) (dual of [66, 34, 33]-code or 66-arc in PG(31,81)), using
  - discarding factors / shortening the dual code based on linear OA(81³², 81, F₈₁, 32) (dual of [81, 49, 33]-code or 81-arc in PG(31,81)), using
    - Reedâ€“Solomon code RS(49,81) [i]
2. linear OA(3¹, 5, F₃, 1) (dual of [5, 4, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(3¹, s, F₃, 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(3¹⁹³, 164, F₃, 2, 64) (dual of [(164, 2), 135, 65]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3¹⁹³, 109, F₃, 3, 64) (dual of [(109, 3), 134, 65]-NRT-code)	[i]		OOA Folding