MinT - Information on Result #1026894

Information on Result #1026894

Linear OOA(4²⁵⁷, 91, F₄, 3, 187) (dual of [(91, 3), 16, 188]-NRT-code), using juxtaposition based on

linear OOA(4⁵⁹, 25, F₄, 3, 49) (dual of [(25, 3), 16, 50]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4⁵⁹, 26, F₄, 3, 49) (dual of [(26, 3), 19, 50]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,28P) [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(4¹⁸², 66, F₄, 3, 137) (dual of [(66, 3), 16, 138]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(4⁸³, 33, F₄, 3, 68) (dual of [(33, 3), 16, 69]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,30P) [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(4²⁵⁷, 91, F₄, 3, 186) (dual of [(91, 3), 16, 187]-NRT-code)	[i]		Strength Reduction for OOAs