MinT - Information on Result #1026275

Information on Result #1026275

Linear OOA(3²¹⁰, 73, F₃, 3, 155) (dual of [(73, 3), 9, 156]-NRT-code), using juxtaposition based on

linear OOA(3⁴², 17, F₃, 3, 33) (dual of [(17, 3), 9, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁴², 19, F₃, 3, 33) (dual of [(19, 3), 15, 34]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,23P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using
    - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁵⁹, 56, F₃, 3, 121) (dual of [(56, 3), 9, 122]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(3⁷⁵, 28, F₃, 3, 60) (dual of [(28, 3), 9, 61]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,23P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, 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(3²¹⁰, 73, F₃, 3, 154) (dual of [(73, 3), 9, 155]-NRT-code)	[i]		Strength Reduction for OOAs