MinT - Information on Result #2194015

Information on Result #2194015

Linear OA(3¹⁶⁵, 192, F₃, 78) (dual of [192, 27, 79]-code), using strength reduction based on linear OA(3¹⁶⁵, 192, F₃, 79) (dual of [192, 27, 80]-code), using

concatenation of two codes [i] based on
1. linear OA(27¹⁵, 24, F₂₇, 15) (dual of [24, 9, 16]-code or 24-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(3⁵, 8, F₃, 4) (dual of [8, 3, 5]-code), using
  - discarding factors / shortening the dual code based on linear OA(3⁵, 11, F₃, 4) (dual of [11, 6, 5]-code), using
    - Golay code G(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(3¹⁶⁵, 96, F₃, 2, 78) (dual of [(96, 2), 27, 79]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3¹⁶⁵, 64, F₃, 3, 78) (dual of [(64, 3), 27, 79]-NRT-code)	[i]		OOA Folding