MinT - Information on Result #1112844

Information on Result #1112844

Linear OOA(3¹⁸⁹, 288, F₃, 5, 52) (dual of [(288, 5), 1251, 53]-NRT-code), using extracting embedded OOA based on digital (137, 189, 288)-net over F₃, using

trace code for nets [i] based on digital (11, 63, 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(3¹⁸⁹, 288, F₃, 5, 51) (dual of [(288, 5), 1251, 52]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3¹⁹⁴, 289, F₃, 5, 52) (dual of [(289, 5), 1251, 53]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(3¹⁹⁹, 290, F₃, 5, 52) (dual of [(290, 5), 1251, 53]-NRT-code)	[i]
4	Linear OOA(3²⁰⁴, 291, F₃, 5, 52) (dual of [(291, 5), 1251, 53]-NRT-code)	[i]
5	Linear OOA(3¹⁹⁰, 288, F₃, 5, 52) (dual of [(288, 5), 1250, 53]-NRT-code)	[i]		OOA Duplication
6	Linear OOA(3¹⁹¹, 288, F₃, 5, 52) (dual of [(288, 5), 1249, 53]-NRT-code)	[i]
7	Linear OOA(3¹⁹³, 288, F₃, 5, 52) (dual of [(288, 5), 1247, 53]-NRT-code)	[i]