MinT - Information on Result #2199578

Information on Result #2199578

Linear OA(3²⁴⁸, 259, F₃, 153) (dual of [259, 11, 154]-code), using strength reduction based on linear OA(3²⁴⁸, 259, F₃, 156) (dual of [259, 11, 157]-code), using

juxtaposition [i] based on
1. linear OA(3⁵, 16, F₃, 3) (dual of [16, 11, 4]-code or 16-cap in PG(4,3)), using
  - discarding factors / shortening the dual code based on linear OA(3⁵, 20, F₃, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,3)), using
    - doubling the cap [i] based on linear OA(3⁴, 10, F₃, 3) (dual of [10, 6, 4]-code or 10-cap in PG(3,3)), using
      - ovoid in PG(3,Â 3) [i]
2. linear OA(3²³², 243, F₃, 152) (dual of [243, 11, 153]-code), using
  - an extension C_e(151) of the primitive narrow-sense BCH-code C(I) with length 242Â = 3⁵âˆ’1, defining interval IÂ =Â [1,151], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 152 [i]

Mode: Constructive and linear.

Optimality

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

Other Results with Identical Parameters

None.

Depending Results

None.