MinT - Information on Result #2663114

Information on Result #2663114

Linear OOA(4²⁴², 82, F₄, 3, 209) (dual of [(82, 3), 4, 210]-NRT-code), using 18 step truncation based on linear OOA(4²⁶⁰, 88, F₄, 3, 227) (dual of [(88, 3), 4, 228]-NRT-code), using

strength reduction [i] based on linear OOA(4²⁶⁰, 88, F₄, 3, 229) (dual of [(88, 3), 4, 230]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(4⁸, 4, F₄, 3, 8) (dual of [(4, 3), 4, 9]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(3;4,4) [i]
  2. linear OOA(4²⁴⁸, 84, F₄, 3, 220) (dual of [(84, 3), 4, 221]-NRT-code), using
    - 3 step truncation [i] based on linear OOA(4²⁵¹, 85, F₄, 3, 223) (dual of [(85, 3), 4, 224]-NRT-code), using
      - concatenation of two NRT-codes [i] based on
        linear OA(16¹⁵, 17, F₁₆, 15) (dual of [17, 2, 16]-code or 17-arc in PG(14,16)), using
        extended Reedâ€“Solomon code RS_e(2,16) [i]
        Simplex code S(2,16) [i]
        linear OOA(4¹³, 5, F₄, 3, 13) (dual of [(5, 3), 2, 14]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(3;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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(4²⁵⁴, 86, F₄, 3, 218) (dual of [(86, 3), 4, 219]-NRT-code)	[i]		Juxtaposition for OOAs