MinT - Information on Result #1841937

Information on Result #1841937

(35, 50, 1198371)-net in base 128, using net defined by OOA based on OOA(128⁵⁰, 1198371, S₁₂₈, 15, 15), using

OOA 7-folding and stacking with additional row [i] based on OA(128⁵⁰, 8388598, S₁₂₈, 15), using
- discarding factors based on OA(128⁵⁰, large, S₁₂₈, 15), using
  - discarding parts of the base [i] based on linear OA(256⁴³, large, F₂₅₆, 15) (dual of [large, large−43, 16]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,14], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 16 [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	(36, 50, 1198371)-net in base 128	[i]		t-Expansion
2	(36, 51, 1198371)-net in base 128	[i]		Net Duplication
3	(37, 52, 1198371)-net in base 128	[i]
4	(38, 53, 1198371)-net in base 128	[i]
5	(39, 54, 1198371)-net in base 128	[i]
6	(40, 55, 1198371)-net in base 128	[i]
7	(35, 49, 1198371)-net in base 128	[i]		m-Reduction
8	(42, 57, 1198500)-net in base 128	[i]		(u,Â u+v)-Construction for Nets
9	(43, 58, 1198628)-net in base 128	[i]
10	(45, 60, 1198629)-net in base 128	[i]
11	(46, 61, 1198757)-net in base 128	[i]
12	(47, 62, 1198885)-net in base 128	[i]
13	(48, 63, 1203832)-net in base 128	[i]
14	(51, 66, 1220218)-net in base 128	[i]
15	(53, 68, 1220345)-net in base 128	[i]
16	(54, 69, 1897422)-net in base 128	[i]
17	(55, 70, 1897424)-net in base 128	[i]