MinT - Information on Result #2233992

Information on Result #2233992

Linear OA(3¹⁷⁹, 339, F₃, 56) (dual of [339, 160, 57]-code), using 1 times truncation based on linear OA(3¹⁸⁰, 340, F₃, 57) (dual of [340, 160, 58]-code), using

concatenation of two codes [i] based on
1. linear OA(81²⁸, 68, F₈₁, 28) (dual of [68, 40, 29]-code or 68-arc in PG(27,81)), using
  - discarding factors / shortening the dual code based on linear OA(81²⁸, 81, F₈₁, 28) (dual of [81, 53, 29]-code or 81-arc in PG(27,81)), using
    - Reedâ€“Solomon code RS(53,81) [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(3¹⁷⁹, 169, F₃, 2, 56) (dual of [(169, 2), 159, 57]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3¹⁷⁹, 113, F₃, 3, 56) (dual of [(113, 3), 160, 57]-NRT-code)	[i]		OOA Folding