MinT - Information on Result #2238688

Information on Result #2238688

Linear OA(4²²², 228, F₄, 164) (dual of [228, 6, 165]-code), using 7 times truncation based on linear OA(4²²⁹, 235, F₄, 171) (dual of [235, 6, 172]-code), using

concatenation of two codes [i] based on
1. linear OA(16⁴⁴, 47, F₁₆, 42) (dual of [47, 3, 43]-code), using
  - 5 times truncation [i] based on linear OA(16⁴⁹, 52, F₁₆, 47) (dual of [52, 3, 48]-code), using
    - Denniston code D(2,16) [i]
2. linear OA(4³, 5, F₄, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
  - extended Reedâ€“Solomon code RS_e(2,4) [i]
  - Simplex code S(2,4) [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

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(4²²², 114, F₄, 2, 164) (dual of [(114, 2), 6, 165]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4²²², 76, F₄, 3, 164) (dual of [(76, 3), 6, 165]-NRT-code)	[i]		OOA Folding