MinT - Information on Result #1026327

Information on Result #1026327

Linear OOA(3²⁰⁸, 72, F₃, 3, 157) (dual of [(72, 3), 8, 158]-NRT-code), using juxtaposition based on

linear OOA(3⁴⁰, 16, F₃, 3, 33) (dual of [(16, 3), 8, 34]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,14P) [i] based on function field F/F₃ with g(F) = 7 and N(F) ≥ 16, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁶⁰, 56, F₃, 3, 123) (dual of [(56, 3), 8, 124]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(3⁷⁶, 28, F₃, 3, 61) (dual of [(28, 3), 8, 62]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,22P) [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(3²⁰⁸, 72, F₃, 3, 156) (dual of [(72, 3), 8, 157]-NRT-code)	[i]		Strength Reduction for OOAs