MinT - Information on Result #2239362

Information on Result #2239362

Linear OA(4²⁰⁶, 215, F₄, 142) (dual of [215, 9, 143]-code), using 1 times truncation based on linear OA(4²⁰⁷, 216, F₄, 143) (dual of [216, 9, 144]-code), using

(u,Â uâˆ’v,Â u+v+w)-construction [i] based on
1. linear OA(4⁶⁴, 72, F₄, 47) (dual of [72, 8, 48]-code), using
  - BCH codes lengthened with UEP codes [i]
2. linear OA(4⁷¹, 72, F₄, 71) (dual of [72, 1, 72]-code or 72-arc in PG(70,4)), using
  - dual of repetition code with length 72 [i]
3. linear OA(4⁷², 72, F₄, 72) (dual of [72, 0, 73]-code or 72-arc in PG(71,4)), using
  - complete OA / dual of code with only one code word [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(4²⁰⁶, 107, F₄, 2, 142) (dual of [(107, 2), 8, 143]-NRT-code)	[i]		OOA Folding