MinT - Information on Result #908557

Information on Result #908557

Linear OOA(2¹⁰⁸, 58, F₂, 2, 56) (dual of [(58, 2), 8, 57]-NRT-code), using juxtaposition based on

linear OOA(2¹², 10, F₂, 2, 8) (dual of [(10, 2), 8, 9]-NRT-code), using
- an explicit generator matrix by Edel [i]
linear OOA(2⁸⁸, 48, F₂, 2, 47) (dual of [(48, 2), 8, 48]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁴¹, 24, F₂, 2, 23) (dual of [(24, 2), 7, 24]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2¹⁸, 12, F₂, 2, 11) (dual of [(12, 2), 6, 12]-NRT-code), using
        extracting embedded OOA [i] based on digital (7, 18, 12)-net over F₂, using
        linear code embedding found in a computer search [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]
  2. 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		This result only	Method
1	Linear OOA(2²²¹, 114, F₂, 2, 113) (dual of [(114, 2), 7, 114]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs