MinT - Information on Result #1086766

Information on Result #1086766

Linear OOA(2²²², 58, F₂, 4, 148) (dual of [(58, 4), 10, 149]-NRT-code), using juxtaposition based on

linear OOA(2⁴⁶, 14, F₂, 4, 35) (dual of [(14, 4), 10, 36]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,20P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁶⁶, 44, F₂, 4, 112) (dual of [(44, 4), 10, 113]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2³⁰, 10, F₂, 4, 24) (dual of [(10, 4), 10, 25]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,15P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2¹²⁶, 34, F₂, 4, 87) (dual of [(34, 4), 10, 88]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(2⁵⁸, 17, F₂, 4, 43) (dual of [(17, 4), 10, 44]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,24P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, 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(2²²², 58, F₂, 4, 147) (dual of [(58, 4), 10, 148]-NRT-code)	[i]		Strength Reduction for OOAs