MinT - Information on Result #1465633

Information on Result #1465633

Linear OOA(7⁴², 156, F₇, 2, 19) (dual of [(156, 2), 270, 20]-NRT-code), using extracting embedded OOA based on digital (23, 42, 156)-net over F₇, using

trace code for nets [i] based on digital (2, 21, 78)-net over F₄₉, using
- net from sequence [i] based on digital (2, 77)-sequence over F₄₉, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄₉ with g(F) = 2 and N(F) ≥ 78, using
    - sharp bound on the number of rational points on curves with genus 2 [i]

Mode: Linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(7⁴³, 156, F₇, 2, 19) (dual of [(156, 2), 269, 20]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(7⁴², 138, F₇, 3, 19) (dual of [(138, 3), 372, 20]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound