MinT - Information on Result #1179003

Information on Result #1179003

Digital (13, 16, 1850766)-net over F₄, using net defined by OOA based on linear OOA(4¹⁶, 1850766, F₄, 3, 3) (dual of [(1850766, 3), 5552282, 4]-NRT-code), using

appending kth column [i] based on linear OOA(4¹⁶, 1850766, F₄, 2, 3) (dual of [(1850766, 2), 3701516, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(4¹⁶, 1850766, F₄, 3) (dual of [1850766, 1850750, 4]-code or 1850766-cap in PG(15,4)), using
  - product of projective cap with cap in AG(5,Â 4) [i] based on linear OA(4¹¹, 15423, F₄, 3) (dual of [15423, 15412, 4]-code or 15423-cap in PG(10,4)), using
    - caps completed using a computer search [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Digital (29, 32, 87382)-net over F₂	[i]		Trace Code for Nets