MinT - Information on Result #662143

Information on Result #662143

Linear OA(4⁴⁰, 45, F₄, 29) (dual of [45, 5, 30]-code), using (u,Â uâˆ’v,Â u+v+w)-construction based on

linear OA(4¹¹, 15, F₄, 9) (dual of [15, 4, 10]-code), using
- 2 times truncation [i] based on linear OA(4¹³, 17, F₄, 11) (dual of [17, 4, 12]-code), using
  - projective code from ovoid in PG(3,Â 4) [i]
linear OA(4¹⁴, 15, F₄, 14) (dual of [15, 1, 15]-code or 15-arc in PG(13,4)), using
- dual of repetition code with length 15 [i]
linear OA(4¹⁵, 15, F₄, 15) (dual of [15, 0, 16]-code or 15-arc in PG(14,4)), using
- complete OA / dual of code with only one code word [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(4⁴⁰, 15, F₄, 3, 29) (dual of [(15, 3), 5, 30]-NRT-code)	[i]		OOA Folding