MinT - Information on Result #1094838

Information on Result #1094838

Linear OOA(3⁶⁵, 14769, F₃, 5, 9) (dual of [(14769, 5), 73780, 10]-NRT-code), using OOA stacking with additional row based on linear OOA(3⁶⁵, 14770, F₃, 4, 9) (dual of [(14770, 4), 59015, 10]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3⁵, 8, F₃, 4, 4) (dual of [(8, 4), 27, 5]-NRT-code), using
  - appending kth column [i] based on linear OOA(3⁵, 8, F₃, 3, 4) (dual of [(8, 3), 19, 5]-NRT-code), using
    - extracting embedded OOA [i] based on digital (1, 5, 8)-net over F₃, using
      - nets constructed from net-embeddable BCH codes [i]
2. linear OOA(3⁶⁰, 14762, F₃, 4, 9) (dual of [(14762, 4), 58988, 10]-NRT-code), using
  - OOA 4-folding [i] based on linear OA(3⁶⁰, 59048, F₃, 9) (dual of [59048, 58988, 10]-code), using
    - the primitive narrow-sense BCH-code C(I) with length 59048Â = 3¹⁰âˆ’1, defining interval IÂ =Â [1,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 10 [i]

Mode: Constructive and linear.

Optimality

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

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(3²⁴⁵, 1692489, F₃, 5, 18) (dual of [(1692489, 5), 8462200, 19]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
2	Linear OOA(3²⁴⁶, 1692489, F₃, 5, 19) (dual of [(1692489, 5), 8462199, 20]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs