MinT - Information on Result #890877

Information on Result #890877

Linear OOA(8¹²⁰, 354, F₈, 2, 53) (dual of [(354, 2), 588, 54]-NRT-code), using extracting embedded OOA based on digital (67, 120, 354)-net over F₈, using

trace code for nets [i] based on digital (7, 60, 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(8¹²², 355, F₈, 2, 53) (dual of [(355, 2), 588, 54]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(8¹²⁴, 356, F₈, 2, 53) (dual of [(356, 2), 588, 54]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(8¹²¹, 354, F₈, 2, 53) (dual of [(354, 2), 587, 54]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(8¹⁴⁷, 368, F₈, 2, 53) (dual of [(368, 2), 589, 54]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
5	Linear OOA(8¹⁴⁸, 371, F₈, 2, 53) (dual of [(371, 2), 594, 54]-NRT-code)	[i]
6	Linear OOA(8¹⁴⁹, 378, F₈, 2, 53) (dual of [(378, 2), 607, 54]-NRT-code)	[i]
7	Linear OOA(8¹⁵⁰, 379, F₈, 2, 53) (dual of [(379, 2), 608, 54]-NRT-code)	[i]
8	Linear OOA(8¹⁵¹, 382, F₈, 2, 53) (dual of [(382, 2), 613, 54]-NRT-code)	[i]
9	Linear OOA(8¹⁵³, 388, F₈, 2, 53) (dual of [(388, 2), 623, 54]-NRT-code)	[i]
10	Linear OOA(8¹⁵⁴, 389, F₈, 2, 53) (dual of [(389, 2), 624, 54]-NRT-code)	[i]
11	Linear OOA(8¹⁵⁵, 399, F₈, 2, 53) (dual of [(399, 2), 643, 54]-NRT-code)	[i]
12	Linear OOA(8¹⁵⁶, 400, F₈, 2, 53) (dual of [(400, 2), 644, 54]-NRT-code)	[i]
13	Linear OOA(8¹⁵⁷, 402, F₈, 2, 53) (dual of [(402, 2), 647, 54]-NRT-code)	[i]
14	Linear OOA(8¹⁶⁰, 419, F₈, 2, 53) (dual of [(419, 2), 678, 54]-NRT-code)	[i]
15	Linear OOA(8¹²⁰, 177, F₈, 3, 53) (dual of [(177, 3), 411, 54]-NRT-code)	[i]		OOA Folding