MinT - Information on Result #2695180

Information on Result #2695180

Linear OOA(5⁶⁸, 254, F₅, 3, 21) (dual of [(254, 3), 694, 22]-NRT-code), using 2 times NRT-code embedding in larger space based on linear OOA(5⁶², 252, F₅, 3, 21) (dual of [(252, 3), 694, 22]-NRT-code), using

extracting embedded OOA [i] based on digital (41, 62, 252)-net over F₅, using
- trace code for nets [i] based on digital (10, 31, 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(5⁶⁹, 254, F₅, 3, 21) (dual of [(254, 3), 693, 22]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(5⁷⁰, 254, F₅, 3, 21) (dual of [(254, 3), 692, 22]-NRT-code)	[i]		OOA Duplication