MinT - Information on Result #2792628

Information on Result #2792628

Linear OOA(2²¹¹, 196, F₂, 4, 55) (dual of [(196, 4), 573, 56]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(2²⁰⁷, 195, F₂, 4, 55) (dual of [(195, 4), 573, 56]-NRT-code), using

extracting embedded OOA [i] based on digital (152, 207, 195)-net over F₂, using
- trace code for nets [i] based on digital (14, 69, 65)-net over F₈, using
  - net from sequence [i] based on digital (14, 64)-sequence over F₈, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65, using
      - the Suzuki function field over F₈ [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(2²¹², 196, F₂, 4, 55) (dual of [(196, 4), 572, 56]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(2²¹³, 196, F₂, 4, 55) (dual of [(196, 4), 571, 56]-NRT-code)	[i]
3	Linear OOA(2²¹⁴, 196, F₂, 4, 55) (dual of [(196, 4), 570, 56]-NRT-code)	[i]
4	Linear OOA(2²¹¹, 98, F₂, 7, 55) (dual of [(98, 7), 475, 56]-NRT-code)	[i]	OOA Folding
5	Linear OOA(2²¹¹, 98, F₂, 8, 55) (dual of [(98, 8), 573, 56]-NRT-code)	[i]	OOA Folding