MinT - Information on Result #1004588

Information on Result #1004588

Linear OOA(5¹³⁸, 252, F₅, 3, 59) (dual of [(252, 3), 618, 60]-NRT-code), using extracting embedded OOA based on digital (79, 138, 252)-net over F₅, using

trace code for nets [i] based on digital (10, 69, 126)-net over F₂₅, using
- net from sequence [i] based on digital (10, 125)-sequence over F₂₅, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 10 and N(F) ≥ 126, using
    - the Hermitian function field over F₂₅ [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(5¹³⁸, 252, F₅, 3, 58) (dual of [(252, 3), 618, 59]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(5¹⁴¹, 253, F₅, 3, 59) (dual of [(253, 3), 618, 60]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(5¹⁴⁴, 254, F₅, 3, 59) (dual of [(254, 3), 618, 60]-NRT-code)	[i]
4	Linear OOA(5¹⁴⁷, 255, F₅, 3, 59) (dual of [(255, 3), 618, 60]-NRT-code)	[i]
5	Linear OOA(5¹⁵⁰, 256, F₅, 3, 59) (dual of [(256, 3), 618, 60]-NRT-code)	[i]
6	Linear OOA(5¹³⁹, 252, F₅, 3, 59) (dual of [(252, 3), 617, 60]-NRT-code)	[i]		OOA Duplication