MinT - Information on Result #1190972

Information on Result #1190972

Digital (13, 18, 4617)-net over F₈, using net defined by OOA based on linear OOA(8¹⁸, 4617, F₈, 6, 5) (dual of [(4617, 6), 27684, 6]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(8¹⁸, 4618, F₈, 2, 5) (dual of [(4618, 2), 9218, 6]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(8⁴, 585, F₈, 2, 2) (dual of [(585, 2), 1166, 3]-NRT-code), using
    - appending kth column [i] based on linear OA(8⁴, 585, F₈, 2) (dual of [585, 581, 3]-code), using
      - Hamming code H(4,8) [i]
  2. linear OOA(8¹⁴, 4033, F₈, 2, 5) (dual of [(4033, 2), 8052, 6]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(8¹⁴, 8066, F₈, 5) (dual of [8066, 8052, 6]-code), using
      - trace code [i] based on linear OA(64⁷, 4033, F₆₄, 5) (dual of [4033, 4026, 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 (82, 92, 3360057)-net over F₈	[i]		(u,Â u+v)-Construction for Nets
2	Digital (89, 100, 3360057)-net over F₈	[i]		(u,Â u+v)-Construction for Nets