MinT - Information on Result #2538117

Information on Result #2538117

Linear OOA(7⁴⁵, 128, F₇, 2, 21) (dual of [(128, 2), 211, 22]-NRT-code), using 7¹ times duplication based on linear OOA(7⁴⁴, 128, F₇, 2, 21) (dual of [(128, 2), 212, 22]-NRT-code), using

extracting embedded OOA [i] based on digital (23, 44, 128)-net over F₇, using
- trace code for nets [i] based on digital (1, 22, 64)-net over F₄₉, using
  - net from sequence [i] based on digital (1, 63)-sequence over F₄₉, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄₉ with g(F) = 1 and N(F) ≥ 64, using
      - sharp bound on the number of rational points on curves with genus 1 [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(7⁴⁵, 121, F₇, 3, 21) (dual of [(121, 3), 318, 22]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound