MinT - Information on Result #1003628

Information on Result #1003628

Linear OOA(4²³¹, 1539, F₄, 3, 49) (dual of [(1539, 3), 4386, 50]-NRT-code), using extracting embedded OOA based on digital (182, 231, 1539)-net over F₄, using

trace code for nets [i] based on digital (28, 77, 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(4²³⁴, 1540, F₄, 3, 49) (dual of [(1540, 3), 4386, 50]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(4²³⁷, 1541, F₄, 3, 49) (dual of [(1541, 3), 4386, 50]-NRT-code)	[i]
3	Linear OOA(4²⁴⁰, 1542, F₄, 3, 49) (dual of [(1542, 3), 4386, 50]-NRT-code)	[i]
4	Linear OOA(4²³², 1539, F₄, 3, 49) (dual of [(1539, 3), 4385, 50]-NRT-code)	[i]		OOA Duplication
5	Linear OOA(4²³³, 1539, F₄, 3, 49) (dual of [(1539, 3), 4384, 50]-NRT-code)	[i]		OOA Duplication