MinT - Information on Result #1204422

Information on Result #1204422

Digital (16, 27, 13364)-net over F₂₅₆, using net defined by OOA based on linear OOA(256²⁷, 13364, F₂₅₆, 15, 11) (dual of [(13364, 15), 200433, 12]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(256²⁷, 13365, F₂₅₆, 5, 11) (dual of [(13365, 5), 66798, 12]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(256⁶, 258, F₂₅₆, 5, 5) (dual of [(258, 5), 1284, 6]-NRT-code), using
    - appending kth column [i] based on linear OOA(256⁶, 258, F₂₅₆, 4, 5) (dual of [(258, 4), 1026, 6]-NRT-code), using
      - extracting embedded OOA [i] based on digital (1, 6, 258)-net over F₂₅₆, using
        net from sequence [i] based on digital (1, 257)-sequence over F₂₅₆, using
        Niederreiter sequence [i]
  2. linear OOA(256²¹, 13107, F₂₅₆, 5, 11) (dual of [(13107, 5), 65514, 12]-NRT-code), using
    - OOA 5-folding [i] based on linear OA(256²¹, 65535, F₂₅₆, 11) (dual of [65535, 65514, 12]-code), using
      - discarding factors / shortening the dual code based on linear OA(256²¹, 65536, F₂₅₆, 11) (dual of [65536, 65515, 12]-code), using
        an extension C_e(10) of the primitive narrow-sense BCH-code C(I) with length 65535Â = 256²âˆ’1, defining interval IÂ =Â [1,10], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

None.