MinT - Information on Result #2196068

Information on Result #2196068

Linear OA(3²⁰¹, 216, F₃, 118) (dual of [216, 15, 119]-code), using strength reduction 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		Method
1	Linear OA(3²⁰⁰, 215, F₃, 117) (dual of [215, 15, 118]-code)	[i]	Truncation
2	Linear OA(3¹⁹⁹, 214, F₃, 116) (dual of [214, 15, 117]-code)	[i]
3	Linear OA(3¹⁹⁸, 213, F₃, 115) (dual of [213, 15, 116]-code)	[i]
4	Linear OA(3¹⁹⁷, 212, F₃, 114) (dual of [212, 15, 115]-code)	[i]
5	Linear OA(3¹⁹⁶, 211, F₃, 113) (dual of [211, 15, 114]-code)	[i]
6	Linear OA(3¹⁹⁵, 210, F₃, 112) (dual of [210, 15, 113]-code)	[i]
7	Linear OA(3¹⁹⁴, 209, F₃, 111) (dual of [209, 15, 112]-code)	[i]
8	Linear OA(3¹⁹³, 208, F₃, 110) (dual of [208, 15, 111]-code)	[i]
9	Linear OA(3¹⁹¹, 206, F₃, 108) (dual of [206, 15, 109]-code)	[i]
10	Linear OOA(3²⁰¹, 108, F₃, 2, 118) (dual of [(108, 2), 15, 119]-NRT-code)	[i]	OOA Folding
11	Linear OOA(3²⁰¹, 72, F₃, 3, 118) (dual of [(72, 3), 15, 119]-NRT-code)	[i]	OOA Folding