MinT - Information on Result #941054

Information on Result #941054

Linear OOA(2³⁰, 22, F₂, 2, 14) (dual of [(22, 2), 14, 15]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹¹, 11, F₂, 2, 7) (dual of [(11, 2), 11, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (4, 11, 11)-net over F₂, using
  - a shift-net [i]
linear OOA(2¹⁹, 11, F₂, 2, 14) (dual of [(11, 2), 3, 15]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2³, 3, F₂, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;3,2) [i]
  2. linear OOA(2¹³, 8, F₂, 2, 10) (dual of [(8, 2), 3, 11]-NRT-code), using
    - an explicit generator matrix by Edel [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2³⁰, 11, F₂, 4, 14) (dual of [(11, 4), 14, 15]-NRT-code)	[i]		OOA Folding