MinT - Information on Result #1840099

Information on Result #1840099

(14, 18, 65289)-net in base 8, using net defined by OOA based on OOA(8¹⁸, 65289, S₈, 4, 4), using

appending kth column [i] based on OOA(8¹⁸, 65289, S₈, 3, 4), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(8², 9, F₈, 3, 2) (dual of [(9, 3), 25, 3]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(3;25,8) [i]
  2. OOA(8¹⁶, 65280, S₈, 3, 4), using
    - OA 2-folding and stacking [i] based on OA(8¹⁶, 130560, S₈, 4), using
      - discarding parts of the base [i] based on linear OA(16¹², 130560, F₁₆, 4) (dual of [130560, 130548, 5]-code), using
        trace code [i] based on linear OA(256⁶, 65280, F₂₅₆, 4) (dual of [65280, 65274, 5]-code), using
        1 times truncation [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	(68, 76, 4259589)-net in base 8	[i]		(u,Â u+v)-Construction for Nets
2	(75, 84, 4259589)-net in base 8	[i]		(u,Â u+v)-Construction for Nets