MinT - Information on Result #2234787

Information on Result #2234787

Linear OA(3²²⁸, 384, F₃, 76) (dual of [384, 156, 77]-code), using 1 times truncation based on linear OA(3²²⁹, 385, F₃, 77) (dual of [385, 156, 78]-code), using

concatenation of two codes [i] based on
1. linear OA(81³⁸, 77, F₈₁, 38) (dual of [77, 39, 39]-code or 77-arc in PG(37,81)), using
  - discarding factors / shortening the dual code based on linear OA(81³⁸, 81, F₈₁, 38) (dual of [81, 43, 39]-code or 81-arc in PG(37,81)), using
    - Reedâ€“Solomon code RS(43,81) [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(3²²⁸, 192, F₃, 2, 76) (dual of [(192, 2), 156, 77]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3²²⁸, 128, F₃, 3, 76) (dual of [(128, 3), 156, 77]-NRT-code)	[i]		OOA Folding