MinT - Information on Result #1188190

Information on Result #1188190

Digital (9, 16, 55)-net over F₅, using net defined by OOA based on linear OOA(5¹⁶, 55, F₅, 9, 7) (dual of [(55, 9), 479, 8]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(5¹⁶, 56, F₅, 3, 7) (dual of [(56, 3), 152, 8]-NRT-code), using
- generalized (u,Â u+v)-construction [i] based on
  1. linear OOA(5², 6, F₅, 3, 2) (dual of [(6, 3), 16, 3]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(3;16,5) [i]
  2. linear OOA(5⁴, 25, F₅, 3, 3) (dual of [(25, 3), 71, 4]-NRT-code), using
    - OOA stacking with additional row [i] based on linear OA(5⁴, 26, F₅, 3) (dual of [26, 22, 4]-code or 26-cap in PG(3,5)), using
      - ovoid in PG(3,Â 5) [i]
  3. linear OOA(5¹⁰, 25, F₅, 3, 7) (dual of [(25, 3), 65, 8]-NRT-code), using
    - extracting embedded OOA [i] based on digital (3, 10, 25)-net over F₅, using
      - linear code embedding found in a computer search [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 (113, 127, 1198426)-net over F₅	[i]		(u,Â u+v)-Construction for Nets
2	Digital (134, 148, 2396797)-net over F₅	[i]
3	Digital (121, 136, 1198426)-net over F₅	[i]