MinT - Information on Result #1006094

Information on Result #1006094

Linear OOA(8⁴², 208, F₈, 3, 18) (dual of [(208, 3), 582, 19]-NRT-code), using extracting embedded OOA based on digital (24, 42, 208)-net over F₈, using

trace code for nets [i] based on digital (3, 21, 104)-net over F₆₄, using
- net from sequence [i] based on digital (3, 103)-sequence over F₆₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 3 and N(F) ≥ 104, using
    - a function field by SÃ©mirat [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(8⁴², 208, F₈, 3, 17) (dual of [(208, 3), 582, 18]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(8⁴⁵, 209, F₈, 3, 18) (dual of [(209, 3), 582, 19]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(8⁴³, 208, F₈, 3, 18) (dual of [(208, 3), 581, 19]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(8¹²⁰, 416, F₈, 3, 36) (dual of [(416, 3), 1128, 37]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
5	Linear OOA(8¹²⁴, 464, F₈, 3, 36) (dual of [(464, 3), 1268, 37]-NRT-code)	[i]
6	Linear OOA(8¹²², 416, F₈, 3, 37) (dual of [(416, 3), 1126, 38]-NRT-code)	[i]
7	Linear OOA(8¹²⁶, 464, F₈, 3, 37) (dual of [(464, 3), 1266, 38]-NRT-code)	[i]