MinT - Information on Result #894662

Information on Result #894662

Linear OOA(2¹¹¹, 58, F₂, 2, 59) (dual of [(58, 2), 5, 60]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁵², 28, F₂, 2, 29) (dual of [(28, 2), 4, 30]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2²³, 13, F₂, 2, 14) (dual of [(13, 2), 3, 15]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2⁹, 6, F₂, 2, 7) (dual of [(6, 2), 3, 8]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(2;F,4P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, using
        an explicitly constructive algebraic function field [i]
      2. linear OOA(2¹⁴, 7, F₂, 2, 14) (dual of [(7, 2), 0, 15]-NRT-code), using
        complete OOA / dual of NRT-code with only one code word [i]
  2. linear OOA(2²⁹, 15, F₂, 2, 29) (dual of [(15, 2), 1, 30]-NRT-code), using
    - dual of repetition NRT-code with length 15 [i]
linear OOA(2⁵⁹, 30, F₂, 2, 59) (dual of [(30, 2), 1, 60]-NRT-code), using
- dual of repetition NRT-code with length 30 [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2²³⁰, 118, F₂, 2, 119) (dual of [(118, 2), 6, 120]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs