MinT - Information on Result #1188048

Information on Result #1188048

Digital (14, 19, 1201)-net over F₅, using net defined by OOA based on linear OOA(5¹⁹, 1201, F₅, 6, 5) (dual of [(1201, 6), 7187, 6]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(5¹⁹, 1202, F₅, 2, 5) (dual of [(1202, 2), 2385, 6]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(5⁵, 781, F₅, 2, 2) (dual of [(781, 2), 1557, 3]-NRT-code), using
    - appending kth column [i] based on linear OA(5⁵, 781, F₅, 2) (dual of [781, 776, 3]-code), using
      - Hamming code H(5,5) [i]
  2. linear OOA(5¹⁴, 601, F₅, 2, 5) (dual of [(601, 2), 1188, 6]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(5¹⁴, 1202, F₅, 5) (dual of [1202, 1188, 6]-code), using
      - trace code [i] based on linear OA(25⁷, 601, F₂₅, 5) (dual of [601, 594, 6]-code), using
        a code by Danev and Olsson [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Digital (101, 111, 3356641)-net over F₅	[i]		(u,Â u+v)-Construction for Nets
2	Digital (89, 100, 1678921)-net over F₅	[i]
3	Digital (110, 121, 3356641)-net over F₅	[i]