MinT - Information on Result #1129404

Information on Result #1129404

Linear OOA(3²⁴⁸, 80, F₃, 5, 123) (dual of [(80, 5), 152, 124]-NRT-code), using constructionÂ X based on

linear OOA(3²³⁰, 73, F₃, 5, 123) (dual of [(73, 5), 135, 124]-NRT-code), using OOA from sequence [i] based on digital (107, 73)-sequence over F₃, using
- base reduction for sequences [i] based on digital (17, 73)-sequence over F₉, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 17 and N(F) ≥ 74, using
    - a function field by GarcÃa and Quoos [i]
linear OOA(3²¹², 73, F₃, 5, 105) (dual of [(73, 5), 153, 106]-NRT-code), using OOA from sequence [i] based on digital (107, 73)-sequence over F₃ (see above)
linear OOA(3¹⁸, 7, F₃, 5, 17) (dual of [(7, 5), 17, 18]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,17P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, 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(3²⁴⁸, 80, F₃, 5, 122) (dual of [(80, 5), 152, 123]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3²⁴⁸, 80, F₃, 5, 121) (dual of [(80, 5), 152, 122]-NRT-code)	[i]		Strength Reduction for OOAs