MinT - Information on Result #971887

Information on Result #971887

Linear OOA(5¹⁶, 104, F₅, 3, 6) (dual of [(104, 3), 296, 7]-NRT-code), using OOA 3-folding based on linear OA(5¹⁶, 312, F₅, 6) (dual of [312, 296, 7]-code), using

discarding factors / shortening the dual code based on linear OA(5¹⁶, 313, F₅, 6) (dual of [313, 297, 7]-code), using
- the BCH-code C(I) with length 313Â | 5⁸âˆ’1, defining interval IÂ =Â {−5,−3,−1,…,5}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 7 [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(5¹⁰⁷, 2796305, F₅, 3, 12) (dual of [(2796305, 3), 8388808, 13]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
2	Linear OOA(5¹²⁸, 4194405, F₅, 3, 12) (dual of [(4194405, 3), 12583087, 13]-NRT-code)	[i]
3	Linear OOA(5¹¹⁷, 2796305, F₅, 3, 13) (dual of [(2796305, 3), 8388798, 14]-NRT-code)	[i]
4	Linear OOA(5¹³⁸, 4194405, F₅, 3, 13) (dual of [(4194405, 3), 12583077, 14]-NRT-code)	[i]