MinT - Information on Result #1026930

Information on Result #1026930

Linear OOA(4²⁵⁸, 91, F₄, 3, 190) (dual of [(91, 3), 15, 191]-NRT-code), using juxtaposition based on

linear OOA(4⁶⁰, 25, F₄, 3, 50) (dual of [(25, 3), 15, 51]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4⁶⁰, 26, F₄, 3, 50) (dual of [(26, 3), 18, 51]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,27P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, using
    - an explicitly constructive algebraic function field [i]
linear OOA(4¹⁸³, 66, F₄, 3, 139) (dual of [(66, 3), 15, 140]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(4⁸⁴, 33, F₄, 3, 69) (dual of [(33, 3), 15, 70]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,29P) [i] based on function field F/F₄ with g(F) = 15 and N(F) ≥ 33, 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(4²⁵⁸, 91, F₄, 3, 189) (dual of [(91, 3), 15, 190]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(4²⁵⁸, 91, F₄, 3, 188) (dual of [(91, 3), 15, 189]-NRT-code)	[i]		Strength Reduction for OOAs