MinT - Information on Result #2231515

Information on Result #2231515

Linear OA(3¹⁹⁹, 214, F₃, 117) (dual of [214, 15, 118]-code), using 2 times truncation based on linear OA(3²⁰¹, 216, F₃, 119) (dual of [216, 15, 120]-code), using

concatenation of two codes [i] based on
1. linear OA(27¹⁹, 24, F₂₇, 19) (dual of [24, 5, 20]-code or 24-arc in PG(18,27)), using
  - discarding factors / shortening the dual code based on linear OA(27¹⁹, 27, F₂₇, 19) (dual of [27, 8, 20]-code or 27-arc in PG(18,27)), using
    - Reedâ€“Solomon code RS(8,27) [i]
2. linear OA(3⁶, 9, F₃, 5) (dual of [9, 3, 6]-code), using
  - discarding factors / shortening the dual code based on linear OA(3⁶, 10, F₃, 5) (dual of [10, 4, 6]-code), using
    - projective code from ovoid in PG(3,Â 3) [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(3¹⁹⁹, 107, F₃, 2, 117) (dual of [(107, 2), 15, 118]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3¹⁹⁹, 71, F₃, 3, 117) (dual of [(71, 3), 14, 118]-NRT-code)	[i]		OOA Folding