MinT - Information on Result #890678

Information on Result #890678

Linear OOA(8⁵⁶, 354, F₈, 2, 21) (dual of [(354, 2), 652, 22]-NRT-code), using extracting embedded OOA based on digital (35, 56, 354)-net over F₈, using

trace code for nets [i] based on digital (7, 28, 177)-net over F₆₄, using
- net from sequence [i] based on digital (7, 176)-sequence over F₆₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177, using
    - a function field by GarcÃa and Quoos [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(8⁵⁸, 355, F₈, 2, 21) (dual of [(355, 2), 652, 22]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(8⁶⁰, 356, F₈, 2, 21) (dual of [(356, 2), 652, 22]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(8⁵⁷, 354, F₈, 2, 21) (dual of [(354, 2), 651, 22]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(8⁶⁶, 363, F₈, 2, 21) (dual of [(363, 2), 660, 22]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
5	Linear OOA(8⁶⁷, 368, F₈, 2, 21) (dual of [(368, 2), 669, 22]-NRT-code)	[i]
6	Linear OOA(8⁶⁸, 371, F₈, 2, 21) (dual of [(371, 2), 674, 22]-NRT-code)	[i]
7	Linear OOA(8⁶⁹, 378, F₈, 2, 21) (dual of [(378, 2), 687, 22]-NRT-code)	[i]
8	Linear OOA(8⁷⁰, 379, F₈, 2, 21) (dual of [(379, 2), 688, 22]-NRT-code)	[i]
9	Linear OOA(8⁵⁶, 177, F₈, 3, 21) (dual of [(177, 3), 475, 22]-NRT-code)	[i]		OOA Folding