MinT - Information on Result #1060480

Information on Result #1060480

Linear OOA(3²²⁴, 2391484, F₃, 4, 18) (dual of [(2391484, 4), 9565712, 19]-NRT-code), using OOA 2-folding based on linear OOA(3²²⁴, 4782968, F₃, 2, 18) (dual of [(4782968, 2), 9565712, 19]-NRT-code), using

trace code [i] based on linear OOA(9¹¹², 2391484, F₉, 2, 18) (dual of [(2391484, 2), 4782856, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(9¹¹², 4782968, F₉, 18) (dual of [4782968, 4782856, 19]-code), using
  - discarding factors / shortening the dual code based on linear OA(9¹¹², 4782969, F₉, 18) (dual of [4782969, 4782857, 19]-code), using
    - 1 times truncation [i] based on linear OA(9¹¹³, 4782970, F₉, 19) (dual of [4782970, 4782857, 20]-code), using
      - the expurgated narrow-sense BCH-code C(I) with length 4782970Â | 9¹⁴âˆ’1, defining interval IÂ =Â [0,9], and minimum distance dÂ â‰¥ |{−9,−8,…,9}|+1Â =Â 20 (BCH-bound) [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		Method
1	Linear OOA(3²⁴³, 2391510, F₃, 4, 18) (dual of [(2391510, 4), 9565797, 19]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(3²⁴⁴, 2391516, F₃, 4, 18) (dual of [(2391516, 4), 9565820, 19]-NRT-code)	[i]
3	Linear OOA(3²⁴⁶, 2391524, F₃, 4, 18) (dual of [(2391524, 4), 9565850, 19]-NRT-code)	[i]
4	Linear OOA(3²⁴⁸, 2391540, F₃, 4, 18) (dual of [(2391540, 4), 9565912, 19]-NRT-code)	[i]
5	Linear OOA(3²⁵⁰, 2391544, F₃, 4, 18) (dual of [(2391544, 4), 9565926, 19]-NRT-code)	[i]