MinT - Information on Result #631078

Information on Result #631078

Linear OA(3²¹², 264, F₃, 77) (dual of [264, 52, 78]-code), using concatenation of two codes based on

linear OA(9⁶², 88, F₉, 38) (dual of [88, 26, 39]-code), using
- discarding factors / shortening the dual code based on linear OA(9⁶², 95, F₉, 38) (dual of [95, 33, 39]-code), using
  - 2 times truncation [i] based on linear OA(9⁶⁴, 97, F₉, 40) (dual of [97, 33, 41]-code), using
    - constructionÂ X applied to C_e(39) âŠ‚ C_e(31) [i] based on
      1. linear OA(9⁵⁶, 81, F₉, 40) (dual of [81, 25, 41]-code), using an extension C_e(39) of the primitive narrow-sense BCH-code C(I) with length 80Â = 9²âˆ’1, defining interval IÂ =Â [1,39], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 40 [i]
      2. linear OA(9⁴⁸, 81, F₉, 32) (dual of [81, 33, 33]-code), using an extension C_e(31) of the primitive narrow-sense BCH-code C(I) with length 80Â = 9²âˆ’1, defining interval IÂ =Â [1,31], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 32 [i]
      3. linear OA(9⁸, 16, F₉, 7) (dual of [16, 8, 8]-code), using
        discarding factors / shortening the dual code based on linear OA(9⁸, 18, F₉, 7) (dual of [18, 10, 8]-code), using
        2 times truncation [i] based on linear OA(9¹⁰, 20, F₉, 9) (dual of [20, 10, 10]-code), using
        extended quadratic residue code Q_e(20,9) [i]
linear OA(3¹, 3, F₃, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(3¹, s, F₃, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
  - parity-check code [i]

Mode: Constructive and linear.

None.

None.