MinT - Information on Result #2239829

Information on Result #2239829

Linear OA(4²⁴⁴, 251, F₄, 175) (dual of [251, 7, 176]-code), using 16 times truncation based on linear OA(4²⁶⁰, 267, F₄, 191) (dual of [267, 7, 192]-code), using

juxtaposition [i] based on
1. linear OA(4⁴, 11, F₄, 3) (dual of [11, 7, 4]-code or 11-cap in PG(3,4)), using
  - discarding factors / shortening the dual code based on linear OA(4⁴, 17, F₄, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4)), using
    - ovoid in PG(3,Â 4) [i]
2. linear OA(4²⁴⁹, 256, F₄, 187) (dual of [256, 7, 188]-code), using
  - an extension C_e(186) of the primitive narrow-sense BCH-code C(I) with length 255Â = 4⁴âˆ’1, defining interval IÂ =Â [1,186], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 187 [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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

None.