MinT - Information on Result #2230807

Information on Result #2230807

Linear OA(3¹⁴⁹, 170, F₃, 76) (dual of [170, 21, 77]-code), using 1 times truncation based on linear OA(3¹⁵⁰, 171, F₃, 77) (dual of [171, 21, 78]-code), using

concatenation of two codes [i] based on
1. linear OA(27¹², 19, F₂₇, 12) (dual of [19, 7, 13]-code or 19-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(3¹⁵¹, 172, F₃, 76) (dual of [172, 21, 77]-code)	[i]	Code Embedding in Larger Space
2	Linear OA(3¹⁵², 174, F₃, 76) (dual of [174, 22, 77]-code)	[i]	ConstructionÂ X with VarÅ¡amov Bound
3	Linear OOA(3¹⁴⁹, 85, F₃, 2, 76) (dual of [(85, 2), 21, 77]-NRT-code)	[i]	OOA Folding
4	Linear OOA(3¹⁴⁹, 34, F₃, 5, 76) (dual of [(34, 5), 21, 77]-NRT-code)	[i]	OOA Folding