MinT - Information on Result #2878708

Information on Result #2878708

Linear OOA(3²¹², 289, F₃, 5, 58) (dual of [(289, 5), 1233, 59]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3²⁰⁷, 288, F₃, 5, 58) (dual of [(288, 5), 1233, 59]-NRT-code), using

extracting embedded OOA [i] based on digital (149, 207, 288)-net over F₃, using
- trace code for nets [i] based on digital (11, 69, 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(3²¹³, 289, F₃, 5, 58) (dual of [(289, 5), 1232, 59]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(3²¹⁴, 289, F₃, 5, 58) (dual of [(289, 5), 1231, 59]-NRT-code)	[i]
3	Linear OOA(3²¹⁵, 289, F₃, 5, 58) (dual of [(289, 5), 1230, 59]-NRT-code)	[i]
4	Linear OOA(3²¹⁶, 289, F₃, 5, 58) (dual of [(289, 5), 1229, 59]-NRT-code)	[i]