MinT - Information on Result #894587

Information on Result #894587

Linear OOA(2⁶⁰, 33, F₂, 2, 33) (dual of [(33, 2), 6, 34]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2²⁷, 16, F₂, 2, 16) (dual of [(16, 2), 5, 17]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹¹, 8, F₂, 2, 8) (dual of [(8, 2), 5, 9]-NRT-code), using
    - an explicit generator matrix by Edel [i]
  2. linear OOA(2¹⁶, 8, F₂, 2, 16) (dual of [(8, 2), 0, 17]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [i]
linear OOA(2³³, 17, F₂, 2, 33) (dual of [(17, 2), 1, 34]-NRT-code), using
- dual of repetition NRT-code with length 17 [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		Method
1	Linear OOA(2²⁵⁸, 132, F₂, 2, 135) (dual of [(132, 2), 6, 136]-NRT-code)	[i]	Repeating Each Code Word for NRT-Codes
2	Linear OOA(2¹²⁶, 66, F₂, 2, 66) (dual of [(66, 2), 6, 67]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
3	Linear OOA(2¹²⁷, 67, F₂, 2, 66) (dual of [(67, 2), 7, 67]-NRT-code)	[i]
4	Linear OOA(2¹²⁷, 67, F₂, 2, 67) (dual of [(67, 2), 7, 68]-NRT-code)	[i]