MinT - Information on Result #2682010

Information on Result #2682010

Linear OOA(3²⁴³, 289, F₃, 3, 69) (dual of [(289, 3), 624, 70]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3²⁴⁰, 288, F₃, 3, 69) (dual of [(288, 3), 624, 70]-NRT-code), using

extracting embedded OOA [i] based on digital (171, 240, 288)-net over F₃, using
- trace code for nets [i] based on digital (11, 80, 96)-net over F₂₇, using
  - net from sequence [i] based on digital (11, 95)-sequence over F₂₇, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₇ with g(F) = 11 and N(F) ≥ 96, using
      - an explicitly constructive algebraic function field [i]

Mode: Constructive and 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(3²⁴⁴, 289, F₃, 3, 69) (dual of [(289, 3), 623, 70]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(3²⁴⁵, 289, F₃, 3, 69) (dual of [(289, 3), 622, 70]-NRT-code)	[i]		OOA Duplication