MinT - Information on Result #1080081

Information on Result #1080081

Linear OOA(2²⁰⁸, 2097190, F₂, 4, 17) (dual of [(2097190, 4), 8388552, 18]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2²¹, 39, F₂, 4, 8) (dual of [(39, 4), 135, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (13, 21, 39)-net over F₂, using
  - linear code embedding found in a computer search [i]
linear OOA(2¹⁸⁷, 2097151, F₂, 4, 17) (dual of [(2097151, 4), 8388417, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2¹⁸⁷, 4194302, F₂, 2, 17) (dual of [(4194302, 2), 8388417, 18]-NRT-code), using
  - 1 times NRT-code embedding in larger space [i] based on linear OOA(2¹⁸⁵, 4194301, F₂, 2, 17) (dual of [(4194301, 2), 8388417, 18]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(2¹⁸⁵, 8388602, F₂, 17) (dual of [8388602, 8388417, 18]-code), using
      - discarding factors / shortening the dual code based on linear OA(2¹⁸⁵, large, F₂, 17) (dual of [large, large−185, 18]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 8388609Â | 2⁴⁶âˆ’1, defining interval IÂ =Â [0,8], and minimum distance dÂ â‰¥ |{−8,−7,…,8}|+1Â =Â 18 (BCH-bound) [i]

Mode: Constructive and linear.

None.

The following results depend on this result: