MinT - Information on Result #1006002

Information on Result #1006002

Linear OOA(8²⁰, 160, F₈, 3, 9) (dual of [(160, 3), 460, 10]-NRT-code), using extracting embedded OOA based on digital (11, 20, 160)-net over F₈, using

trace code for nets [i] based on digital (1, 10, 80)-net over F₆₄, using
- net from sequence [i] based on digital (1, 79)-sequence over F₆₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 1 and N(F) ≥ 80, 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(8²⁰, 160, F₈, 3, 8) (dual of [(160, 3), 460, 9]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(8²¹, 160, F₈, 3, 9) (dual of [(160, 3), 459, 10]-NRT-code)	[i]		OOA Duplication
3	Linear OOA(8²⁸, 290, F₈, 3, 9) (dual of [(290, 3), 842, 10]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
4	Linear OOA(8¹⁵⁸, 5592562, F₈, 3, 18) (dual of [(5592562, 3), 16777528, 19]-NRT-code)	[i]
5	Linear OOA(8⁶⁴, 368, F₈, 3, 19) (dual of [(368, 3), 1040, 20]-NRT-code)	[i]
6	Linear OOA(8¹⁶⁶, 5592562, F₈, 3, 19) (dual of [(5592562, 3), 16777520, 20]-NRT-code)	[i]