MinT - Information on Result #1194760

Information on Result #1194760

Digital (12, 17, 65553)-net over F₁₆, using net defined by OOA based on linear OOA(16¹⁷, 65553, F₁₆, 6, 5) (dual of [(65553, 6), 393301, 6]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(16¹⁷, 65554, F₁₆, 2, 5) (dual of [(65554, 2), 131091, 6]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(16³, 273, F₁₆, 2, 2) (dual of [(273, 2), 543, 3]-NRT-code), using
    - appending kth column [i] based on linear OA(16³, 273, F₁₆, 2) (dual of [273, 270, 3]-code), using
      - Hamming code H(3,16) [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		This result only	Method
1	Digital (63, 73, 3420993)-net over F₁₆	[i]		(u,Â u+v)-Construction for Nets
2	Digital (68, 79, 3420993)-net over F₁₆	[i]		(u,Â u+v)-Construction for Nets