MinT - Information on Result #1189608

Information on Result #1189608

Digital (14, 19, 4705)-net over F₇, using net defined by OOA based on linear OOA(7¹⁹, 4705, F₇, 6, 5) (dual of [(4705, 6), 28211, 6]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(7¹⁹, 4706, F₇, 2, 5) (dual of [(4706, 2), 9393, 6]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(7⁵, 2801, F₇, 2, 2) (dual of [(2801, 2), 5597, 3]-NRT-code), using
    - appending kth column [i] based on linear OA(7⁵, 2801, F₇, 2) (dual of [2801, 2796, 3]-code), using
      - Hamming code H(5,7) [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 (90, 101, 2310625)-net over F₇	[i]		(u,Â u+v)-Construction for Nets