MinT - Information on Result #2227987

Information on Result #2227987

Linear OA(3⁶⁴, 91, F₃, 28) (dual of [91, 27, 29]-code), using 1 times truncation based on linear OA(3⁶⁵, 92, F₃, 29) (dual of [92, 27, 30]-code), using

concatenation of two codes [i] based on
1. linear OA(27¹⁴, 23, F₂₇, 14) (dual of [23, 9, 15]-code or 23-arc in PG(13,27)), using
  - discarding factors / shortening the dual code based on linear OA(27¹⁴, 27, F₂₇, 14) (dual of [27, 13, 15]-code or 27-arc in PG(13,27)), using
    - Reedâ€“Solomon code RS(13,27) [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(3⁶⁴, 45, F₃, 2, 28) (dual of [(45, 2), 26, 29]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3⁶⁴, 30, F₃, 3, 28) (dual of [(30, 3), 26, 29]-NRT-code)	[i]		OOA Folding