MinT - Information on Result #2227900

Information on Result #2227900

Linear OA(3⁵⁸, 91, F₃, 24) (dual of [91, 33, 25]-code), using 1 times truncation based on linear OA(3⁵⁹, 92, F₃, 25) (dual of [92, 33, 26]-code), using

concatenation of two codes [i] based on
1. linear OA(27¹², 23, F₂₇, 12) (dual of [23, 11, 13]-code or 23-arc in PG(11,27)), using
  - discarding factors / shortening the dual code based on linear OA(27¹², 27, F₂₇, 12) (dual of [27, 15, 13]-code or 27-arc in PG(11,27)), using
    - Reedâ€“Solomon code RS(15,27) [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(3⁵⁸, 45, F₃, 2, 24) (dual of [(45, 2), 32, 25]-NRT-code)	[i]		OOA Folding