MinT - Information on Result #1006303

Information on Result #1006303

Linear OOA(8⁸⁸, 354, F₈, 3, 37) (dual of [(354, 3), 974, 38]-NRT-code), using extracting embedded OOA based on digital (51, 88, 354)-net over F₈, using

trace code for nets [i] based on digital (7, 44, 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(8⁸⁸, 354, F₈, 3, 36) (dual of [(354, 3), 974, 37]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(8⁹¹, 355, F₈, 3, 37) (dual of [(355, 3), 974, 38]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(8⁹⁴, 356, F₈, 3, 37) (dual of [(356, 3), 974, 38]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
4	Linear OOA(8⁸⁹, 354, F₈, 3, 37) (dual of [(354, 3), 973, 38]-NRT-code)	[i]		OOA Duplication
5	Linear OOA(8¹⁰⁶, 363, F₈, 3, 37) (dual of [(363, 3), 983, 38]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
6	Linear OOA(8¹⁰⁷, 368, F₈, 3, 37) (dual of [(368, 3), 997, 38]-NRT-code)	[i]
7	Linear OOA(8¹⁰⁸, 371, F₈, 3, 37) (dual of [(371, 3), 1005, 38]-NRT-code)	[i]
8	Linear OOA(8¹⁰⁹, 378, F₈, 3, 37) (dual of [(378, 3), 1025, 38]-NRT-code)	[i]
9	Linear OOA(8¹¹⁰, 379, F₈, 3, 37) (dual of [(379, 3), 1027, 38]-NRT-code)	[i]
10	Linear OOA(8¹¹¹, 382, F₈, 3, 37) (dual of [(382, 3), 1035, 38]-NRT-code)	[i]
11	Linear OOA(8¹¹³, 388, F₈, 3, 37) (dual of [(388, 3), 1051, 38]-NRT-code)	[i]
12	Linear OOA(8¹¹⁴, 389, F₈, 3, 37) (dual of [(389, 3), 1053, 38]-NRT-code)	[i]
13	Linear OOA(8¹¹⁵, 399, F₈, 3, 37) (dual of [(399, 3), 1082, 38]-NRT-code)	[i]
14	Linear OOA(8¹¹⁶, 400, F₈, 3, 37) (dual of [(400, 3), 1084, 38]-NRT-code)	[i]
15	Linear OOA(8¹¹⁷, 402, F₈, 3, 37) (dual of [(402, 3), 1089, 38]-NRT-code)	[i]
16	Linear OOA(8¹²⁰, 419, F₈, 3, 37) (dual of [(419, 3), 1137, 38]-NRT-code)	[i]
17	Linear OOA(8¹²⁴, 484, F₈, 3, 37) (dual of [(484, 3), 1328, 38]-NRT-code)	[i]
18	Linear OOA(8¹²⁶, 514, F₈, 3, 37) (dual of [(514, 3), 1416, 38]-NRT-code)	[i]