MinT - Information on Result #2228031

Information on Result #2228031

Linear OA(3⁶⁷, 91, F₃, 30) (dual of [91, 24, 31]-code), using 1 times truncation based on linear OA(3⁶⁸, 92, F₃, 31) (dual of [92, 24, 32]-code), using

concatenation of two codes [i] based on
1. linear OA(27¹⁵, 23, F₂₇, 15) (dual of [23, 8, 16]-code or 23-arc in PG(14,27)), using
  - discarding factors / shortening the dual code based on linear OA(27¹⁵, 27, F₂₇, 15) (dual of [27, 12, 16]-code or 27-arc in PG(14,27)), using
    - Reedâ€“Solomon code RS(12,27) [i]
2. linear OA(3¹, 4, F₃, 1) (dual of [4, 3, 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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(3⁶⁷, 45, F₃, 2, 30) (dual of [(45, 2), 23, 31]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3⁶⁷, 30, F₃, 3, 30) (dual of [(30, 3), 23, 31]-NRT-code)	[i]		OOA Folding