MinT - Information on Result #1465742

Information on Result #1465742

Linear OOA(8⁵⁶, 162, F₈, 2, 27) (dual of [(162, 2), 268, 28]-NRT-code), using extracting embedded OOA based on digital (29, 56, 162)-net over F₈, using

trace code for nets [i] based on digital (1, 28, 81)-net over F₆₄, using
- net from sequence [i] based on digital (1, 80)-sequence over F₆₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 1 and N(F) ≥ 81, 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(8⁵⁷, 162, F₈, 2, 27) (dual of [(162, 2), 267, 28]-NRT-code)	[i]		OOA Duplication