MinT - Information on Result #1194762

Information on Result #1194762

Digital (13, 18, 69649)-net over F₁₆, using net defined by OOA based on linear OOA(16¹⁸, 69649, F₁₆, 6, 5) (dual of [(69649, 6), 417876, 6]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(16¹⁸, 69650, F₁₆, 2, 5) (dual of [(69650, 2), 139282, 6]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(16⁴, 4369, F₁₆, 2, 2) (dual of [(4369, 2), 8734, 3]-NRT-code), using
    - appending kth column [i] based on linear OA(16⁴, 4369, F₁₆, 2) (dual of [4369, 4365, 3]-code), using
      - Hamming code H(4,16) [i]
  2. linear OOA(16¹⁴, 65281, F₁₆, 2, 5) (dual of [(65281, 2), 130548, 6]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(16¹⁴, 130562, F₁₆, 5) (dual of [130562, 130548, 6]-code), using
      - trace code [i] based on linear OA(256⁷, 65281, F₂₅₆, 5) (dual of [65281, 65274, 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		Method
1	Digital (64, 74, 3425089)-net over F₁₆	[i]	(u,Â u+v)-Construction for Nets
2	Digital (69, 80, 3425089)-net over F₁₆	[i]	(u,Â u+v)-Construction for Nets
3	(19, 24, 69649)-net in base 8	[i]	Base Change