MinT - Information on Result #1119019

Information on Result #1119019

Linear OOA(256⁶⁸, 13624, F₂₅₆, 5, 24) (dual of [(13624, 5), 68052, 25]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(256²¹, 517, F₂₅₆, 5, 12) (dual of [(517, 5), 2564, 13]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(256⁷, 258, F₂₅₆, 5, 6) (dual of [(258, 5), 1283, 7]-NRT-code), using
    - extracting embedded OOA [i] based on digital (1, 7, 258)-net over F₂₅₆, using
      - net from sequence [i] based on digital (1, 257)-sequence over F₂₅₆, using
        Niederreiter sequence [i]
  2. linear OOA(256¹⁴, 259, F₂₅₆, 5, 12) (dual of [(259, 5), 1281, 13]-NRT-code), using
    - extracting embedded OOA [i] based on digital (2, 14, 259)-net over F₂₅₆, using
      - net from sequence [i] based on digital (2, 258)-sequence over F₂₅₆, using
        Niederreiter sequence [i]
linear OOA(256⁴⁷, 13107, F₂₅₆, 5, 24) (dual of [(13107, 5), 65488, 25]-NRT-code), using
- OOA 5-folding [i] based on linear OA(256⁴⁷, 65535, F₂₅₆, 24) (dual of [65535, 65488, 25]-code), using
  - discarding factors / shortening the dual code based on linear OA(256⁴⁷, 65536, F₂₅₆, 24) (dual of [65536, 65489, 25]-code), using
    - an extension C_e(23) of the primitive narrow-sense BCH-code C(I) with length 65535Â = 256²âˆ’1, defining interval IÂ =Â [1,23], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 24 [i]

Mode: Constructive and linear.

None.

None.