MinT - Information on Result #2234911

Information on Result #2234911

Linear OA(3²⁴¹, 389, F₃, 82) (dual of [389, 148, 83]-code), using 1 times truncation based on linear OA(3²⁴², 390, F₃, 83) (dual of [390, 148, 84]-code), using

concatenation of two codes [i] based on
1. linear OA(81⁴¹, 78, F₈₁, 41) (dual of [78, 37, 42]-code or 78-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(3²⁴¹, 194, F₃, 2, 82) (dual of [(194, 2), 147, 83]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3²⁴¹, 129, F₃, 3, 82) (dual of [(129, 3), 146, 83]-NRT-code)	[i]		OOA Folding