MinT - Information on Result #1011742

Information on Result #1011742

Linear OOA(4¹⁵, 37, F₄, 3, 7) (dual of [(37, 3), 96, 8]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(4⁴, 17, F₄, 3, 3) (dual of [(17, 3), 47, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(4⁴, 17, F₄, 2, 3) (dual of [(17, 2), 30, 4]-NRT-code), using
  - OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(4⁴, 17, F₄, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4)), using
    - ovoid in PG(3,Â 4) [i]
linear OOA(4¹¹, 20, F₄, 3, 7) (dual of [(20, 3), 49, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (4, 11, 20)-net over F₄, using
  - linear code embedding found in a computer search [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		Method
1	Linear OOA(4¹³⁶, 2796238, F₄, 3, 14) (dual of [(2796238, 3), 8388578, 15]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(4¹⁴⁸, 2796238, F₄, 3, 15) (dual of [(2796238, 3), 8388566, 16]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
3	Linear OOA(4¹⁵, 36, F₄, 9, 7) (dual of [(36, 9), 309, 8]-NRT-code)	[i]	OOA Stacking with Additional Row