MinT - Information on Result #2228138

Information on Result #2228138

Linear OA(3⁶⁵, 107, F₃, 26) (dual of [107, 42, 27]-code), using 1 times truncation based on linear OA(3⁶⁶, 108, F₃, 27) (dual of [108, 42, 28]-code), using

concatenation of two codes [i] based on
1. linear OA(27¹³, 27, F₂₇, 13) (dual of [27, 14, 14]-code or 27-arc in PG(12,27)), using
  - Reedâ€“Solomon code RS(14,27) [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(3⁶⁵, 53, F₃, 2, 26) (dual of [(53, 2), 41, 27]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3⁶⁵, 35, F₃, 3, 26) (dual of [(35, 3), 40, 27]-NRT-code)	[i]		OOA Folding