MinT - Information on Result #1027208

Information on Result #1027208

Linear OOA(4¹⁷⁷, 62, F₄, 3, 141) (dual of [(62, 3), 9, 142]-NRT-code), using juxtaposition based on

linear OOA(4⁵⁴, 21, F₄, 3, 47) (dual of [(21, 3), 9, 48]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,15P) [i] based on function field F/F₄ with g(F) = 7 and N(F) ≥ 21, using
  - an explicitly constructive algebraic function field [i]
linear OOA(4¹¹⁴, 41, F₄, 3, 93) (dual of [(41, 3), 9, 94]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(4³³, 14, F₄, 3, 30) (dual of [(14, 3), 9, 31]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,11P) [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(4⁷², 27, F₄, 3, 62) (dual of [(27, 3), 9, 63]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,18P) [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(4¹⁷⁷, 62, F₄, 3, 140) (dual of [(62, 3), 9, 141]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(4¹⁷⁷, 62, F₄, 3, 139) (dual of [(62, 3), 9, 140]-NRT-code)	[i]		Strength Reduction for OOAs