MinT - Information on Result #2802581

Information on Result #2802581

Linear OOA(3²¹⁷, 292, F₃, 4, 56) (dual of [(292, 4), 951, 57]-NRT-code), using 4 times NRT-code embedding in larger space based on linear OOA(3²⁰¹, 288, F₃, 4, 56) (dual of [(288, 4), 951, 57]-NRT-code), using

extracting embedded OOA [i] based on digital (145, 201, 288)-net over F₃, using
- trace code for nets [i] based on digital (11, 67, 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		Method
1	Linear OOA(3²¹⁸, 292, F₃, 4, 56) (dual of [(292, 4), 950, 57]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(3²¹⁹, 292, F₃, 4, 56) (dual of [(292, 4), 949, 57]-NRT-code)	[i]
3	Linear OOA(3²²⁰, 292, F₃, 4, 56) (dual of [(292, 4), 948, 57]-NRT-code)	[i]