MinT - Information on Result #1844100

Information on Result #1844100

(54, 68, 2396742)-net in base 128, using (u,Â u+v)-construction based on

(15, 22, 2796200)-net in base 128, using
- net defined by OOA [i] based on OOA(128²², 2796200, S₁₂₈, 7, 7), using
  - OOA 3-folding and stacking with additional row [i] based on OA(128²², 8388601, S₁₂₈, 7), using
    - discarding factors based on OA(128²², large, S₁₂₈, 7), using
      - discarding parts of the base [i] based on linear OA(256¹⁹, large, F₂₅₆, 7) (dual of [large, large−19, 8]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,6], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 8 [i]
(32, 46, 1198371)-net in base 128, using
- net defined by OOA [i] based on OOA(128⁴⁶, 1198371, S₁₂₈, 14, 14), using
  - OA 7-folding and stacking [i] based on OA(128⁴⁶, 8388597, S₁₂₈, 14), using
    - discarding factors based on OA(128⁴⁶, large, S₁₂₈, 14), using
      - discarding parts of the base [i] based on linear OA(256⁴⁰, large, F₂₅₆, 14) (dual of [large, large−40, 15]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,13], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 15 [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	(55, 69, 2396742)-net in base 128	[i]		Net Duplication
2	(56, 70, 2396742)-net in base 128	[i]		Net Duplication