MinT - Information on Result #1120567

Information on Result #1120567

Linear OOA(2²³⁵, 51, F₂, 5, 158) (dual of [(51, 5), 20, 159]-NRT-code), using juxtaposition based on

linear OOA(2⁸⁰, 20, F₂, 5, 61) (dual of [(20, 5), 20, 62]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,38P) [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(2¹³⁵, 31, F₂, 5, 96) (dual of [(31, 5), 20, 97]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2¹³⁵, 32, F₂, 5, 96) (dual of [(32, 5), 25, 97]-NRT-code), using
  - algebraic-geometric NRT-code AG(5;F,63P) [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(2²³⁵, 51, F₂, 5, 157) (dual of [(51, 5), 20, 158]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²³⁵, 51, F₂, 5, 156) (dual of [(51, 5), 20, 157]-NRT-code)	[i]		Strength Reduction for OOAs