MinT - Information on Result #1189602

Information on Result #1189602

Digital (11, 16, 2360)-net over F₇, using net defined by OOA based on linear OOA(7¹⁶, 2360, F₇, 6, 5) (dual of [(2360, 6), 14144, 6]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(7¹⁶, 2361, F₇, 2, 5) (dual of [(2361, 2), 4706, 6]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(7², 8, F₇, 2, 2) (dual of [(8, 2), 14, 3]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;14,7) [i]
  2. linear OOA(7¹⁴, 2353, F₇, 2, 5) (dual of [(2353, 2), 4692, 6]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(7¹⁴, 4706, F₇, 5) (dual of [4706, 4692, 6]-code), using
      - trace code [i] based on linear OA(49⁷, 2353, F₄₉, 5) (dual of [2353, 2346, 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 (80, 90, 2308282)-net over F₇	[i]		(u,Â u+v)-Construction for Nets
2	Digital (87, 98, 2308280)-net over F₇	[i]		(u,Â u+v)-Construction for Nets