MinT - Information on Result #2196437

Information on Result #2196437

Linear OA(3²⁰⁷, 216, F₃, 130) (dual of [216, 9, 131]-code), using strength reduction based on linear OA(3²⁰⁷, 216, F₃, 131) (dual of [216, 9, 132]-code), using

concatenation of two codes [i] based on
1. linear OA(27²¹, 24, F₂₇, 21) (dual of [24, 3, 22]-code or 24-arc in PG(20,27)), using
  - discarding factors / shortening the dual code based on linear OA(27²¹, 27, F₂₇, 21) (dual of [27, 6, 22]-code or 27-arc in PG(20,27)), using
    - Reedâ€“Solomon code RS(6,27) [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(3²⁰⁶, 215, F₃, 129) (dual of [215, 9, 130]-code)	[i]	Truncation
2	Linear OA(3²⁰⁵, 214, F₃, 128) (dual of [214, 9, 129]-code)	[i]
3	Linear OA(3²⁰⁴, 213, F₃, 127) (dual of [213, 9, 128]-code)	[i]
4	Linear OA(3²⁰³, 212, F₃, 126) (dual of [212, 9, 127]-code)	[i]
5	Linear OOA(3²⁰⁷, 108, F₃, 2, 130) (dual of [(108, 2), 9, 131]-NRT-code)	[i]	OOA Folding
6	Linear OOA(3²⁰⁷, 72, F₃, 3, 130) (dual of [(72, 3), 9, 131]-NRT-code)	[i]	OOA Folding