MinT - Information on Result #994141

Information on Result #994141

Linear OOA(4¹⁷, 4179650, F₄, 3, 3) (dual of [(4179650, 3), 12538933, 4]-NRT-code), using appending kth column based on linear OOA(4¹⁷, 4179650, F₄, 2, 3) (dual of [(4179650, 2), 8359283, 4]-NRT-code), using

OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(4¹⁷, 4179650, F₄, 3) (dual of [4179650, 4179633, 4]-code or 4179650-cap in PG(16,4)), using
- product of projective cap with cap in AG(6,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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Digital (14, 17, 4179650)-net over F₄	[i]		Net Defined by OOA