MinT - Information on Result #894615

Information on Result #894615

Linear OOA(2⁷⁴, 39, F₂, 2, 41) (dual of [(39, 2), 4, 42]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2³³, 18, F₂, 2, 20) (dual of [(18, 2), 3, 21]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹³, 8, F₂, 2, 10) (dual of [(8, 2), 3, 11]-NRT-code), using
    - an explicit generator matrix by Edel [i]
  2. linear OOA(2²⁰, 10, F₂, 2, 20) (dual of [(10, 2), 0, 21]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [i]
linear OOA(2⁴¹, 21, F₂, 2, 41) (dual of [(21, 2), 1, 42]-NRT-code), using
- dual of repetition NRT-code with length 21 [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2¹⁵⁷, 81, F₂, 2, 83) (dual of [(81, 2), 5, 84]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs