MinT - Information on Result #1189606

Information on Result #1189606

Digital (13, 18, 2752)-net over F₇, using net defined by OOA based on linear OOA(7¹⁸, 2752, F₇, 6, 5) (dual of [(2752, 6), 16494, 6]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(7¹⁸, 2753, F₇, 2, 5) (dual of [(2753, 2), 5488, 6]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(7⁴, 400, F₇, 2, 2) (dual of [(400, 2), 796, 3]-NRT-code), using
    - appending kth column [i] based on linear OA(7⁴, 400, F₇, 2) (dual of [400, 396, 3]-code), using
      - Hamming code H(4,7) [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 (89, 100, 2308672)-net over F₇	[i]		(u,Â u+v)-Construction for Nets