MinT - Information on Result #2193563

Information on Result #2193563

Linear OA(3¹⁵⁶, 180, F₃, 76) (dual of [180, 24, 77]-code), using strength reduction based on linear OA(3¹⁵⁶, 180, F₃, 77) (dual of [180, 24, 78]-code), using

concatenation of two codes [i] based on
1. linear OA(27¹², 20, F₂₇, 12) (dual of [20, 8, 13]-code or 20-arc in PG(11,27)), using
  - discarding factors / shortening the dual code based on linear OA(27¹², 27, F₂₇, 12) (dual of [27, 15, 13]-code or 27-arc in PG(11,27)), using
    - Reedâ€“Solomon code RS(15,27) [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(3¹⁵⁵, 179, F₃, 75) (dual of [179, 24, 76]-code)	[i]	Truncation
2	Linear OA(3¹⁵⁴, 178, F₃, 74) (dual of [178, 24, 75]-code)	[i]
3	Linear OA(3¹⁵³, 177, F₃, 73) (dual of [177, 24, 74]-code)	[i]
4	Linear OA(3¹⁵⁰, 174, F₃, 70) (dual of [174, 24, 71]-code)	[i]
5	Linear OOA(3¹⁵⁶, 90, F₃, 2, 76) (dual of [(90, 2), 24, 77]-NRT-code)	[i]	OOA Folding
6	Linear OOA(3¹⁵⁶, 60, F₃, 3, 76) (dual of [(60, 3), 24, 77]-NRT-code)	[i]	OOA Folding