MinT - Information on Result #894598

Information on Result #894598

Linear OOA(2⁶⁶, 35, F₂, 2, 36) (dual of [(35, 2), 4, 37]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2³⁰, 17, F₂, 2, 18) (dual of [(17, 2), 4, 19]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹², 8, F₂, 2, 9) (dual of [(8, 2), 4, 10]-NRT-code), using
    - an explicit generator matrix by Edel [i]
  2. linear OOA(2¹⁸, 9, F₂, 2, 18) (dual of [(9, 2), 0, 19]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [i]
linear OOA(2³⁶, 18, F₂, 2, 36) (dual of [(18, 2), 0, 37]-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(2¹³⁹, 72, F₂, 2, 73) (dual of [(72, 2), 5, 74]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs