MinT - Information on Result #894633

Information on Result #894633

Linear OOA(2⁸⁷, 47, F₂, 2, 47) (dual of [(47, 2), 7, 48]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁴⁰, 23, F₂, 2, 23) (dual of [(23, 2), 6, 24]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹⁷, 11, F₂, 2, 11) (dual of [(11, 2), 5, 12]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2⁶, 5, F₂, 2, 5) (dual of [(5, 2), 4, 6]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(2;F,4P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
        an explicitly constructive algebraic function field [i]
      2. linear OOA(2¹¹, 6, F₂, 2, 11) (dual of [(6, 2), 1, 12]-NRT-code), using
        dual of repetition NRT-code with length 6 [i]
  2. linear OOA(2²³, 12, F₂, 2, 23) (dual of [(12, 2), 1, 24]-NRT-code), using
    - dual of repetition NRT-code with length 12 [i]
linear OOA(2⁴⁷, 24, F₂, 2, 47) (dual of [(24, 2), 1, 48]-NRT-code), using
- dual of repetition NRT-code with length 24 [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		Method
1	Linear OOA(2¹⁸¹, 94, F₂, 2, 95) (dual of [(94, 2), 7, 96]-NRT-code)	[i]	Repeating Each Code Word for NRT-Codes
2	Linear OOA(2¹⁸¹, 94, F₂, 2, 94) (dual of [(94, 2), 7, 95]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
3	Linear OOA(2¹⁸², 95, F₂, 2, 94) (dual of [(95, 2), 8, 95]-NRT-code)	[i]
4	Linear OOA(2¹⁸², 95, F₂, 2, 95) (dual of [(95, 2), 8, 96]-NRT-code)	[i]
5	Linear OOA(2¹⁰⁷, 57, F₂, 2, 56) (dual of [(57, 2), 7, 57]-NRT-code)	[i]	Juxtaposition for OOAs
6	Linear OOA(2¹²³, 65, F₂, 2, 65) (dual of [(65, 2), 7, 66]-NRT-code)	[i]
7	Linear OOA(2¹⁵⁷, 82, F₂, 2, 83) (dual of [(82, 2), 7, 84]-NRT-code)	[i]