MinT - Information on Result #1087516

Information on Result #1087516

Linear OOA(3²³², 60, F₃, 4, 189) (dual of [(60, 4), 8, 190]-NRT-code), using juxtaposition based on

linear OOA(3⁵⁶, 16, F₃, 4, 49) (dual of [(16, 4), 8, 50]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;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(3¹⁶⁸, 44, F₃, 4, 139) (dual of [(44, 4), 8, 140]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3⁵⁶, 16, F₃, 4, 49) (dual of [(16, 4), 8, 50]-NRT-code) (see above)
  2. linear OOA(3¹⁰⁴, 28, F₃, 4, 89) (dual of [(28, 4), 8, 90]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;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(3²³¹, 59, F₃, 4, 188) (dual of [(59, 4), 5, 189]-NRT-code)	[i]		Truncation for OOAs