MinT - Information on Result #1840153

Information on Result #1840153

(18, 23, 65865)-net in base 8, using net defined by OOA based on OOA(8²³, 65865, S₈, 6, 5), using

OOA stacking with additional row [i] based on OOA(8²³, 65866, S₈, 2, 5), 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. OOA(8¹⁹, 65281, S₈, 2, 5), using
    - OOA 2-folding [i] based on OA(8¹⁹, 130562, S₈, 5), using
      - discarding parts of the base [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	(87, 97, 3421305)-net in base 8	[i]		(u,Â u+v)-Construction for Nets
2	(94, 105, 3421305)-net in base 8	[i]		(u,Â u+v)-Construction for Nets