MinT - Information on Result #1003556

Information on Result #1003556

Linear OOA(4²¹⁰, 1539, F₄, 3, 42) (dual of [(1539, 3), 4407, 43]-NRT-code), using extracting embedded OOA based on digital (168, 210, 1539)-net over F₄, using

trace code for nets [i] based on digital (28, 70, 513)-net over F₆₄, using
- net from sequence [i] based on digital (28, 512)-sequence over F₆₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 28 and N(F) ≥ 513, using
    - the Hermitian function field over F₆₄ [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(4²¹³, 1540, F₄, 3, 42) (dual of [(1540, 3), 4407, 43]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(4²¹⁶, 1541, F₄, 3, 42) (dual of [(1541, 3), 4407, 43]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(4²¹¹, 1539, F₄, 3, 42) (dual of [(1539, 3), 4406, 43]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(4²¹², 1539, F₄, 3, 42) (dual of [(1539, 3), 4405, 43]-NRT-code)	[i]		OOA Duplication