MinT - Information on Result #2234821

Information on Result #2234821

Linear OA(3²³⁶, 364, F₃, 82) (dual of [364, 128, 83]-code), using 1 times truncation based on linear OA(3²³⁷, 365, F₃, 83) (dual of [365, 128, 84]-code), using

concatenation of two codes [i] based on
1. linear OA(81⁴¹, 73, F₈₁, 41) (dual of [73, 32, 42]-code or 73-arc in PG(40,81)), using
  - discarding factors / shortening the dual code based on linear OA(81⁴¹, 81, F₈₁, 41) (dual of [81, 40, 42]-code or 81-arc in PG(40,81)), using
    - Reedâ€“Solomon code RS(40,81) [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(3²³⁶, 182, F₃, 2, 82) (dual of [(182, 2), 128, 83]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3²³⁶, 121, F₃, 3, 82) (dual of [(121, 3), 127, 83]-NRT-code)	[i]		OOA Folding