MinT - Information on Result #1840111

Information on Result #1840111

(6, 11, 49153)-net in base 128, using net defined by OOA based on OOA(128¹¹, 49153, S₁₂₈, 5, 5), using

appending kth column [i] based on OOA(128¹¹, 49153, S₁₂₈, 4, 5), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(128³, 16513, F₁₂₈, 4, 2) (dual of [(16513, 4), 66049, 3]-NRT-code), using
    - appending 2 arbitrary columns [i] based on linear OOA(128³, 16513, F₁₂₈, 2, 2) (dual of [(16513, 2), 33023, 3]-NRT-code), using
      - appending kth column [i] based on linear OA(128³, 16513, F₁₂₈, 2) (dual of [16513, 16510, 3]-code), using
        Hamming code H(3,128) [i]
  2. OOA(128⁸, 32640, S₁₂₈, 4, 5), using
    - OOA 2-folding and stacking with additional row [i] based on OA(128⁸, 65281, S₁₂₈, 5), using
      - discarding parts of the base [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	(33, 43, 1726873)-net in base 128	[i]		(u,Â u+v)-Construction for Nets
2	(36, 47, 1726873)-net in base 128	[i]		(u,Â u+v)-Construction for Nets