MinT - Information on Result #1059572

Information on Result #1059572

Linear OOA(3⁹³, 2097151, F₃, 4, 10) (dual of [(2097151, 4), 8388511, 11]-NRT-code), using OOA 2-folding based on linear OOA(3⁹³, 4194302, F₃, 2, 10) (dual of [(4194302, 2), 8388511, 11]-NRT-code), using

1 times NRT-code embedding in larger space [i] based on linear OOA(3⁹¹, 4194301, F₃, 2, 10) (dual of [(4194301, 2), 8388511, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3⁹¹, 8388602, F₃, 10) (dual of [8388602, 8388511, 11]-code), using
  - discarding factors / shortening the dual code based on linear OA(3⁹¹, large, F₃, 10) (dual of [large, large−91, 11]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [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(3⁹³, 2097151, F₃, 4, 9) (dual of [(2097151, 4), 8388511, 10]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(3⁹⁴, 2097151, F₃, 4, 10) (dual of [(2097151, 4), 8388510, 11]-NRT-code)	[i]	OOA Duplication
3	Linear OOA(3⁹⁵, 2097151, F₃, 4, 10) (dual of [(2097151, 4), 8388509, 11]-NRT-code)	[i]	OOA Duplication