MinT - Information on Result #1846649

Information on Result #1846649

(8, 56, 289)-net in base 128, using base change based on digital (1, 49, 289)-net over F₂₅₆, using

net from sequence [i] based on digital (1, 288)-sequence over F₂₅₆, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅₆ with g(F) = 1 and N(F) ≥ 289, using
  - sharp bound on the number of rational points on curves with genus 1 [i]

Mode: Arbitrary.

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	(8, 55, 289)-net in base 128	[i]		m-Reduction
2	(8, 54, 289)-net in base 128	[i]
3	(8, 53, 289)-net in base 128	[i]
4	(8, 52, 289)-net in base 128	[i]
5	(8, 51, 289)-net in base 128	[i]
6	(8, 50, 289)-net in base 128	[i]
7	(8, 49, 289)-net in base 128	[i]
8	OOA(128⁵⁶, 289, S₁₂₈, 2, 48)	[i]		Extracting Embedded OOA
9	OOA(128⁵⁶, 289, S₁₂₈, 3, 48)	[i]
10	OOA(128⁵⁶, 289, S₁₂₈, 4, 48)	[i]