MinT - Information on Result #2234751

Information on Result #2234751

Linear OA(3²²⁴, 384, F₃, 74) (dual of [384, 160, 75]-code), using 1 times truncation based on linear OA(3²²⁵, 385, F₃, 75) (dual of [385, 160, 76]-code), using

concatenation of two codes [i] based on
1. linear OA(81³⁷, 77, F₈₁, 37) (dual of [77, 40, 38]-code or 77-arc in PG(36,81)), using
  - discarding factors / shortening the dual code based on linear OA(81³⁷, 81, F₈₁, 37) (dual of [81, 44, 38]-code or 81-arc in PG(36,81)), using
    - Reedâ€“Solomon code RS(44,81) [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(3²²⁴, 192, F₃, 2, 74) (dual of [(192, 2), 160, 75]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3²²⁴, 128, F₃, 3, 74) (dual of [(128, 3), 160, 75]-NRT-code)	[i]		OOA Folding