MinT - Information on Result #1120585

Information on Result #1120585

Linear OOA(2²³⁸, 51, F₂, 5, 164) (dual of [(51, 5), 17, 165]-NRT-code), using juxtaposition based on

linear OOA(2⁷³, 18, F₂, 5, 54) (dual of [(18, 5), 17, 55]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2⁷³, 19, F₂, 5, 54) (dual of [(19, 5), 22, 55]-NRT-code), using
  - algebraic-geometric NRT-code AG(5;F,40P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, using
    - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁴⁸, 33, F₂, 5, 109) (dual of [(33, 5), 17, 110]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,55P) [i] based on function field F/F₂ with g(F) = 39 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(2²³⁸, 51, F₂, 5, 163) (dual of [(51, 5), 17, 164]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²³⁸, 51, F₂, 5, 162) (dual of [(51, 5), 17, 163]-NRT-code)	[i]		Strength Reduction for OOAs