MinT - Information on Result #1027492

Information on Result #1027492

Linear OOA(4²⁵⁷, 87, F₄, 3, 221) (dual of [(87, 3), 4, 222]-NRT-code), using juxtaposition based on

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]
linear OOA(4²⁴⁵, 83, F₄, 3, 212) (dual of [(83, 3), 4, 213]-NRT-code), using
- 15 step truncation [i] 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) (see above)
      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.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(4²⁵⁷, 87, F₄, 3, 220) (dual of [(87, 3), 4, 221]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(4²⁵⁷, 87, F₄, 3, 219) (dual of [(87, 3), 4, 220]-NRT-code)	[i]		Strength Reduction for OOAs