MinT - Information on Result #1078154

Information on Result #1078154

Linear OOA(3²⁴³, 324, F₃, 4, 63) (dual of [(324, 4), 1053, 64]-NRT-code), using extracting embedded OOA based on digital (180, 243, 324)-net over F₃, using

trace code for nets [i] based on digital (18, 81, 108)-net over F₂₇, using
- net from sequence [i] based on digital (18, 107)-sequence over F₂₇, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₇ with g(F) = 18 and N(F) ≥ 108, using
    - F₃ from the tower of function fields by Bezerra, GarcÃa, and Stichtenoth over F₂₇ [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(3²⁴³, 324, F₃, 4, 62) (dual of [(324, 4), 1053, 63]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3²⁴⁷, 325, F₃, 4, 63) (dual of [(325, 4), 1053, 64]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(3²⁴⁴, 324, F₃, 4, 63) (dual of [(324, 4), 1052, 64]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(3²⁴⁵, 324, F₃, 4, 63) (dual of [(324, 4), 1051, 64]-NRT-code)	[i]		OOA Duplication