MinT - Information on Result #1006075

Information on Result #1006075

Linear OOA(8³⁸, 160, F₈, 3, 18) (dual of [(160, 3), 442, 19]-NRT-code), using extracting embedded OOA based on digital (20, 38, 160)-net over F₈, using

trace code for nets [i] based on digital (1, 19, 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(8³⁸, 160, F₈, 3, 17) (dual of [(160, 3), 442, 18]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(8⁴¹, 161, F₈, 3, 18) (dual of [(161, 3), 442, 19]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(8³⁹, 160, F₈, 3, 18) (dual of [(160, 3), 441, 19]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(8¹¹⁶, 368, F₈, 3, 36) (dual of [(368, 3), 988, 37]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
5	Linear OOA(8¹²⁴, 514, F₈, 3, 36) (dual of [(514, 3), 1418, 37]-NRT-code)	[i]
6	Linear OOA(8¹¹⁸, 368, F₈, 3, 37) (dual of [(368, 3), 986, 38]-NRT-code)	[i]
7	Linear OOA(8¹²⁶, 514, F₈, 3, 37) (dual of [(514, 3), 1416, 38]-NRT-code)	[i]