MinT - Information on Result #1002966

Information on Result #1002966

Linear OOA(4⁶³, 240, F₄, 3, 20) (dual of [(240, 3), 657, 21]-NRT-code), using extracting embedded OOA based on digital (43, 63, 240)-net over F₄, using

trace code for nets [i] based on digital (1, 21, 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(4⁶⁶, 241, F₄, 3, 20) (dual of [(241, 3), 657, 21]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(4⁶⁴, 240, F₄, 3, 20) (dual of [(240, 3), 656, 21]-NRT-code)	[i]		OOA Duplication
3	Linear OOA(4⁶⁵, 240, F₄, 3, 20) (dual of [(240, 3), 655, 21]-NRT-code)	[i]		OOA Duplication