MinT - Information on Result #2639135

Information on Result #2639135

Linear OOA(4²⁶⁰, 88, F₄, 3, 226) (dual of [(88, 3), 4, 227]-NRT-code), using strength reduction 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
      1. 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]
      2. 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		Method
1	Linear OOA(4²⁵⁶, 86, F₄, 3, 222) (dual of [(86, 3), 2, 223]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(4²⁵⁴, 86, F₄, 3, 220) (dual of [(86, 3), 4, 221]-NRT-code)	[i]
3	Linear OOA(4²⁴⁷, 83, F₄, 3, 213) (dual of [(83, 3), 2, 214]-NRT-code)	[i]
4	Linear OOA(4²⁴⁵, 83, F₄, 3, 211) (dual of [(83, 3), 4, 212]-NRT-code)	[i]
5	Linear OOA(4²⁴⁴, 82, F₄, 3, 210) (dual of [(82, 3), 2, 211]-NRT-code)	[i]
6	Linear OOA(4²⁴², 82, F₄, 3, 208) (dual of [(82, 3), 4, 209]-NRT-code)	[i]
7	Linear OOA(4²³⁵, 79, F₄, 3, 201) (dual of [(79, 3), 2, 202]-NRT-code)	[i]
8	Linear OOA(4²³⁴, 79, F₄, 3, 200) (dual of [(79, 3), 3, 201]-NRT-code)	[i]
9	Linear OOA(4²³¹, 78, F₄, 3, 197) (dual of [(78, 3), 3, 198]-NRT-code)	[i]
10	Linear OOA(4²²⁹, 77, F₄, 3, 195) (dual of [(77, 3), 2, 196]-NRT-code)	[i]
11	Linear OOA(4²²⁰, 74, F₄, 3, 186) (dual of [(74, 3), 2, 187]-NRT-code)	[i]