MinT - Information on Result #2228136

Information on Result #2228136

Linear OA(3⁶⁹, 99, F₃, 30) (dual of [99, 30, 31]-code), using 1 times truncation based on linear OA(3⁷⁰, 100, F₃, 31) (dual of [100, 30, 32]-code), using

concatenation of two codes [i] based on
1. linear OA(27¹⁵, 25, F₂₇, 15) (dual of [25, 10, 16]-code or 25-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(3⁶⁹, 49, F₃, 2, 30) (dual of [(49, 2), 29, 31]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3⁶⁹, 33, F₃, 3, 30) (dual of [(33, 3), 30, 31]-NRT-code)	[i]		OOA Folding