MinT - Information on Result #1184884

Information on Result #1184884

Digital (219, 239, 839078)-net over F₃, using net defined by OOA based on linear OOA(3²³⁹, 839078, F₃, 22, 20) (dual of [(839078, 22), 18459477, 21]-NRT-code), using

OOA 5-folding and stacking with additional row [i] based on linear OOA(3²³⁹, 4195391, F₃, 2, 20) (dual of [(4195391, 2), 8390543, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3²³⁹, 4195394, F₃, 2, 20) (dual of [(4195394, 2), 8390549, 21]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(3⁴³, 1093, F₃, 2, 10) (dual of [(1093, 2), 2143, 11]-NRT-code), using
      - OOA 2-folding [i] based on linear OA(3⁴³, 2186, F₃, 10) (dual of [2186, 2143, 11]-code), using
        discarding factors / shortening the dual code based on linear OA(3⁴³, 2187, F₃, 10) (dual of [2187, 2144, 11]-code), using
        an extension C_e(9) of the primitive narrow-sense BCH-code C(I) with length 2186Â = 3⁷âˆ’1, defining interval IÂ =Â [1,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 10 [i]
    2. linear OOA(3¹⁹⁶, 4194301, F₃, 2, 20) (dual of [(4194301, 2), 8388406, 21]-NRT-code), using
      - OOA 2-folding [i] based on linear OA(3¹⁹⁶, 8388602, F₃, 20) (dual of [8388602, 8388406, 21]-code), using
        discarding factors / shortening the dual code based on linear OA(3¹⁹⁶, large, F₃, 20) (dual of [large, large−196, 21]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,19], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 21 [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.