MinT - Information on Result #1112281

Information on Result #1112281

Linear OOA(3¹⁵³, 288, F₃, 5, 40) (dual of [(288, 5), 1287, 41]-NRT-code), using extracting embedded OOA based on digital (113, 153, 288)-net over F₃, using

trace code for nets [i] based on digital (11, 51, 96)-net over F₂₇, using
- net from sequence [i] based on digital (11, 95)-sequence over F₂₇, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₇ with g(F) = 11 and N(F) ≥ 96, using
    - an explicitly constructive algebraic function field [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(3¹⁵³, 288, F₃, 5, 39) (dual of [(288, 5), 1287, 40]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3¹⁵⁸, 289, F₃, 5, 40) (dual of [(289, 5), 1287, 41]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(3¹⁵⁴, 288, F₃, 5, 40) (dual of [(288, 5), 1286, 41]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(3¹⁵⁵, 288, F₃, 5, 40) (dual of [(288, 5), 1285, 41]-NRT-code)	[i]
5	Linear OOA(3¹⁵⁷, 288, F₃, 5, 40) (dual of [(288, 5), 1283, 41]-NRT-code)	[i]