MinT - Information on Result #1025837

Information on Result #1025837

Linear OOA(3¹⁷⁰, 65, F₃, 3, 104) (dual of [(65, 3), 25, 105]-NRT-code), using juxtaposition based on

linear OOA(3⁵⁹, 28, F₃, 3, 44) (dual of [(28, 3), 25, 45]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,39P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3⁸⁶, 37, F₃, 3, 59) (dual of [(37, 3), 25, 60]-NRT-code), using
- extracting embedded OOA [i] based on digital (27, 86, 37)-net over F₃, using
  - net from sequence [i] based on digital (27, 36)-sequence over F₃, using
    - Niederreiterâ€“Xing sequence constructionÂ III based on the algebraic function field F/F₃ with g(F)Â =Â 26, N(F)Â =Â 36, and 1 place with degree 2 [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(3¹⁷⁰, 65, F₃, 3, 103) (dual of [(65, 3), 25, 104]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3¹⁷⁰, 65, F₃, 3, 102) (dual of [(65, 3), 25, 103]-NRT-code)	[i]		Strength Reduction for OOAs