MinT - Information on Result #1823540

Information on Result #1823540

(19, 24, 69649)-net in base 8, using base change based on digital (13, 18, 69649)-net over F₁₆, using

net defined by OOA [i] 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.

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	OOA(8²⁴, 69649, S₈, 2, 5)	[i]		Extracting Embedded OOA