MinT - Information on Result #953032

Information on Result #953032

Linear OOA(3¹⁴⁰, 19682, F₃, 3, 21) (dual of [(19682, 3), 58906, 22]-NRT-code), using OOA 3-folding based on linear OA(3¹⁴⁰, 59046, F₃, 21) (dual of [59046, 58906, 22]-code), using

discarding factors / shortening the dual code based on linear OA(3¹⁴⁰, 59048, F₃, 21) (dual of [59048, 58908, 22]-code), using
- 1 times truncation [i] based on linear OA(3¹⁴¹, 59049, F₃, 22) (dual of [59049, 58908, 23]-code), using
  - an extension C_e(21) of the primitive narrow-sense BCH-code C(I) with length 59048Â = 3¹⁰âˆ’1, defining interval IÂ =Â [1,21], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 22 [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		Method
1	Linear OOA(3¹⁴⁰, 19682, F₃, 4, 21) (dual of [(19682, 4), 78588, 22]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(3¹⁴⁰, 19682, F₃, 5, 21) (dual of [(19682, 5), 98270, 22]-NRT-code)	[i]
3	Digital (119, 140, 19682)-net over F₃	[i]