MinT - Information on Result #971287

Information on Result #971287

Linear OOA(4²⁰⁷, 72, F₄, 3, 143) (dual of [(72, 3), 9, 144]-NRT-code), using OOA 3-folding 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.

Other Results with Identical Parameters

None.

Depending Results

None.