MinT - Information on Result #662525

Information on Result #662525

Linear OA(4⁹⁵, 16399, F₄, 17) (dual of [16399, 16304, 18]-code), using (u,Â u+v)-construction based on

linear OA(4¹⁰, 14, F₄, 8) (dual of [14, 4, 9]-code), using
- 3 times truncation [i] based on linear OA(4¹³, 17, F₄, 11) (dual of [17, 4, 12]-code), using
  - projective code from ovoid in PG(3,Â 4) [i]
linear OA(4⁸⁵, 16385, F₄, 17) (dual of [16385, 16300, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16385Â | 4¹⁴âˆ’1, defining interval IÂ =Â [0,8], and minimum distance dÂ â‰¥ |{−8,−7,…,8}|+1Â =Â 18 (BCH-bound) [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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(4⁹⁵, 12681, F₄, 2, 17) (dual of [(12681, 2), 25267, 18]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(4⁹⁵, 12681, F₄, 3, 17) (dual of [(12681, 3), 37948, 18]-NRT-code)	[i]
3	Digital (78, 95, 12681)-net over F₄	[i]