MinT - Information on Result #2234709

Information on Result #2234709

Linear OA(3²²⁶, 354, F₃, 78) (dual of [354, 128, 79]-code), using 1 times truncation based on linear OA(3²²⁷, 355, F₃, 79) (dual of [355, 128, 80]-code), using

concatenation of two codes [i] based on
1. linear OA(81³⁹, 71, F₈₁, 39) (dual of [71, 32, 40]-code or 71-arc in PG(38,81)), using
  - discarding factors / shortening the dual code based on linear OA(81³⁹, 81, F₈₁, 39) (dual of [81, 42, 40]-code or 81-arc in PG(38,81)), using
    - Reedâ€“Solomon code RS(42,81) [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(3²²⁶, 177, F₃, 2, 78) (dual of [(177, 2), 128, 79]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3²²⁶, 118, F₃, 3, 78) (dual of [(118, 3), 128, 79]-NRT-code)	[i]		OOA Folding