MinT - Information on Result #1188044

Information on Result #1188044

Digital (12, 17, 631)-net over F₅, using net defined by OOA based on linear OOA(5¹⁷, 631, F₅, 6, 5) (dual of [(631, 6), 3769, 6]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(5¹⁷, 632, F₅, 2, 5) (dual of [(632, 2), 1247, 6]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(5³, 31, F₅, 2, 2) (dual of [(31, 2), 59, 3]-NRT-code), using
    - appending kth column [i] based on linear OA(5³, 31, F₅, 2) (dual of [31, 28, 3]-code), using
      - Hamming code H(3,5) [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 (99, 109, 3356071)-net over F₅	[i]		(u,Â u+v)-Construction for Nets
2	Digital (87, 98, 1678351)-net over F₅	[i]
3	Digital (108, 119, 3356071)-net over F₅	[i]