MinT - Information on Result #894577

Information on Result #894577

Linear OOA(2⁵⁴, 29, F₂, 2, 30) (dual of [(29, 2), 4, 31]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2²⁴, 14, F₂, 2, 15) (dual of [(14, 2), 4, 16]-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(2¹⁵, 8, F₂, 2, 15) (dual of [(8, 2), 1, 16]-NRT-code), using
    - dual of repetition NRT-code with length 8 [i]
linear OOA(2³⁰, 15, F₂, 2, 30) (dual of [(15, 2), 0, 31]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2¹¹⁵, 60, F₂, 2, 61) (dual of [(60, 2), 5, 62]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs