MinT - Information on Result #2227702

Information on Result #2227702

Linear OA(3⁴³, 115, F₃, 14) (dual of [115, 72, 15]-code), using 1 times truncation based on linear OA(3⁴⁴, 116, F₃, 15) (dual of [116, 72, 16]-code), using

(u,Â u+v)-construction [i] based on
1. linear OA(3¹⁶, 58, F₃, 7) (dual of [58, 42, 8]-code), using
  - discarding factors / shortening the dual code based on linear OA(3¹⁶, 82, F₃, 7) (dual of [82, 66, 8]-code), using
    - generator matrices provided on Edelâ€™s homepage [i]
2. linear OA(3²⁸, 58, F₃, 15) (dual of [58, 30, 16]-code), using
  - 2 times truncation [i] based on linear OA(3³⁰, 60, F₃, 17) (dual of [60, 30, 18]-code), using
    - extended quadratic residue code Q_e(60,3) [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 OOA(3⁴³, 115, F₃, 2, 14) (dual of [(115, 2), 187, 15]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(3⁴³, 115, F₃, 3, 14) (dual of [(115, 3), 302, 15]-NRT-code)	[i]
3	Linear OOA(3⁴³, 115, F₃, 4, 14) (dual of [(115, 4), 417, 15]-NRT-code)	[i]
4	Linear OOA(3⁴³, 115, F₃, 5, 14) (dual of [(115, 5), 532, 15]-NRT-code)	[i]
5	Digital (29, 43, 115)-net over F₃	[i]
6	Linear OOA(3⁴³, 57, F₃, 2, 14) (dual of [(57, 2), 71, 15]-NRT-code)	[i]	OOA Folding