MinT - Information on Result #1027319

Information on Result #1027319

Linear OOA(4¹⁶⁷, 58, F₄, 3, 137) (dual of [(58, 3), 7, 138]-NRT-code), using juxtaposition based on

linear OOA(4⁴⁴, 17, F₄, 3, 39) (dual of [(17, 3), 7, 40]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,11P) [i] based on function field F/F₄ with g(F) = 5 and N(F) ≥ 17, using
  - an explicitly constructive algebraic function field [i]
linear OOA(4¹¹⁶, 41, F₄, 3, 97) (dual of [(41, 3), 7, 98]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(4³⁵, 14, F₄, 3, 32) (dual of [(14, 3), 7, 33]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,9P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(4⁷⁴, 27, F₄, 3, 64) (dual of [(27, 3), 7, 65]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,16P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, 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(4²¹⁸, 75, F₄, 3, 177) (dual of [(75, 3), 7, 178]-NRT-code)	[i]		Juxtaposition for OOAs