MinT - Information on Result #1118814

Information on Result #1118814

Linear OOA(256⁴⁰, 13622, F₂₅₆, 5, 15) (dual of [(13622, 5), 68070, 16]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(256¹¹, 515, F₂₅₆, 5, 7) (dual of [(515, 5), 2564, 8]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(256³, 257, F₂₅₆, 5, 3) (dual of [(257, 5), 1282, 4]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(5;1282,256) [i]
  2. linear OOA(256⁸, 258, F₂₅₆, 5, 7) (dual of [(258, 5), 1282, 8]-NRT-code), using
    - extracting embedded OOA [i] based on digital (1, 8, 258)-net over F₂₅₆, using
      - net from sequence [i] based on digital (1, 257)-sequence over F₂₅₆, using
        Niederreiter sequence [i]
linear OOA(256²⁹, 13107, F₂₅₆, 5, 15) (dual of [(13107, 5), 65506, 16]-NRT-code), using
- OOA 5-folding [i] based on linear OA(256²⁹, 65535, F₂₅₆, 15) (dual of [65535, 65506, 16]-code), using
  - discarding factors / shortening the dual code based on linear OA(256²⁹, 65536, F₂₅₆, 15) (dual of [65536, 65507, 16]-code), using
    - an extension C_e(14) of the primitive narrow-sense BCH-code C(I) with length 65535Â = 256²âˆ’1, defining interval IÂ =Â [1,14], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 15 [i]

Mode: Constructive and linear.

None.

None.