MinT - Information on Result #2234941

Information on Result #2234941

Linear OA(3²⁴⁷, 379, F₃, 86) (dual of [379, 132, 87]-code), using 1 times truncation based on linear OA(3²⁴⁸, 380, F₃, 87) (dual of [380, 132, 88]-code), using

concatenation of two codes [i] based on
1. linear OA(81⁴³, 76, F₈₁, 43) (dual of [76, 33, 44]-code or 76-arc in PG(42,81)), using
  - discarding factors / shortening the dual code based on linear OA(81⁴³, 81, F₈₁, 43) (dual of [81, 38, 44]-code or 81-arc in PG(42,81)), using
    - Reedâ€“Solomon code RS(38,81) [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(3²⁴⁷, 189, F₃, 2, 86) (dual of [(189, 2), 131, 87]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3²⁴⁷, 126, F₃, 3, 86) (dual of [(126, 3), 131, 87]-NRT-code)	[i]		OOA Folding