MinT - Information on Result #1841861

Information on Result #1841861

(46, 58, 2796200)-net in base 128, using net defined by OOA based on OOA(128⁵⁸, 2796200, S₁₂₈, 14, 12), using

OOA 3-folding and stacking with additional row [i] based on OOA(128⁵⁸, 8388601, S₁₂₈, 2, 12), using
- discarding factors based on OOA(128⁵⁸, 8388602, S₁₂₈, 2, 12), using
  - (u,Â u+v)-construction [i] based on
    1. OOA(128¹⁹, 4194301, S₁₂₈, 2, 6), using
      - OOA 2-folding [i] based on OA(128¹⁹, 8388602, S₁₂₈, 6), using
        discarding factors based on OA(128¹⁹, large, S₁₂₈, 6), using
        discarding parts of the base [i] based on linear OA(256¹⁶, large, F₂₅₆, 6) (dual of [large, large−16, 7]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,5], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 7 [i]
    2. OOA(128³⁹, 4194301, S₁₂₈, 2, 12), using
      - OOA 2-folding [i] based on OA(128³⁹, 8388602, S₁₂₈, 12), using
        discarding factors based on OA(128³⁹, large, S₁₂₈, 12), using
        discarding parts of the base [i] based on linear OA(256³⁴, large, F₂₅₆, 12) (dual of [large, large−34, 13]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,11], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 13 [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	(47, 59, 2796200)-net in base 128	[i]		Net Duplication
2	(65, 77, 5592400)-net in base 128	[i]		(u,Â u+v)-Construction for Nets