MinT - Information on Result #1026218

Information on Result #1026218

Linear OOA(3¹⁷³, 61, F₃, 3, 124) (dual of [(61, 3), 10, 125]-NRT-code), using juxtaposition based on

linear OOA(3²⁹, 13, F₃, 3, 24) (dual of [(13, 3), 10, 25]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 29, 13)-net over F₃, using
  - net from sequence [i] based on digital (5, 12)-sequence over F₃, using
    - Niederreiterâ€“Xing sequence constructionÂ III based on the algebraic function field F/F₃ with g(F)Â =Â 4, N(F)Â =Â 12, and 1 place with degree 2 [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using an explicitly constructive algebraic function field [i]
linear OOA(3¹³⁴, 48, F₃, 3, 99) (dual of [(48, 3), 10, 100]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(3⁶², 24, F₃, 3, 49) (dual of [(24, 3), 10, 50]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,22P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24, using
    - a function field by SÃ©mirat [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(3¹⁷³, 61, F₃, 3, 123) (dual of [(61, 3), 10, 124]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3¹⁷³, 61, F₃, 3, 122) (dual of [(61, 3), 10, 123]-NRT-code)	[i]		Strength Reduction for OOAs