MinT - Information on Result #2233626

Information on Result #2233626

Linear OA(3¹⁶⁸, 304, F₃, 54) (dual of [304, 136, 55]-code), using 1 times truncation based on linear OA(3¹⁶⁹, 305, F₃, 55) (dual of [305, 136, 56]-code), using

concatenation of two codes [i] based on
1. linear OA(81²⁷, 61, F₈₁, 27) (dual of [61, 34, 28]-code or 61-arc in PG(26,81)), using
  - discarding factors / shortening the dual code based on linear OA(81²⁷, 81, F₈₁, 27) (dual of [81, 54, 28]-code or 81-arc in PG(26,81)), using
    - Reedâ€“Solomon code RS(54,81) [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(3¹⁶⁸, 152, F₃, 2, 54) (dual of [(152, 2), 136, 55]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3¹⁶⁸, 101, F₃, 3, 54) (dual of [(101, 3), 135, 55]-NRT-code)	[i]		OOA Folding