MinT - Information on Result #1026567

Information on Result #1026567

Linear OOA(3¹²⁸, 44, F₃, 3, 105) (dual of [(44, 3), 4, 106]-NRT-code), using juxtaposition based on

linear OOA(3¹⁷, 7, F₃, 3, 16) (dual of [(7, 3), 4, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,4P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁰⁷, 37, F₃, 3, 88) (dual of [(37, 3), 4, 89]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3¹⁷, 7, F₃, 3, 16) (dual of [(7, 3), 4, 17]-NRT-code) (see above)
  2. linear OOA(3⁸⁶, 30, F₃, 3, 71) (dual of [(30, 3), 4, 72]-NRT-code), using
    - repeating each code word 3 times [i] based on linear OOA(3²⁶, 10, F₃, 3, 23) (dual of [(10, 3), 4, 24]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,6P) [i] based on function field F/F₃ with g(F) = 3 and N(F) ≥ 10, 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(3¹⁴⁹, 51, F₃, 3, 122) (dual of [(51, 3), 4, 123]-NRT-code)	[i]		Juxtaposition for OOAs