MinT - Information on Result #2696602

Information on Result #2696602

Linear OOA(5¹³⁹, 257, F₅, 3, 52) (dual of [(257, 3), 632, 53]-NRT-code), using 5 times NRT-code embedding in larger space based on linear OOA(5¹²⁴, 252, F₅, 3, 52) (dual of [(252, 3), 632, 53]-NRT-code), using

extracting embedded OOA [i] based on digital (72, 124, 252)-net over F₅, using
- trace code for nets [i] based on digital (10, 62, 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(5¹⁴⁰, 257, F₅, 3, 52) (dual of [(257, 3), 631, 53]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(5¹⁴¹, 257, F₅, 3, 52) (dual of [(257, 3), 630, 53]-NRT-code)	[i]		OOA Duplication