MinT - Information on Result #895064

Information on Result #895064

Linear OOA(3¹⁵³, 4197581, F₃, 2, 13) (dual of [(4197581, 2), 8395009, 14]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3³², 3280, F₃, 2, 6) (dual of [(3280, 2), 6528, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3³², 6560, F₃, 6) (dual of [6560, 6528, 7]-code), using
  - discarding factors / shortening the dual code based on linear OA(3³², 6561, F₃, 6) (dual of [6561, 6529, 7]-code), using
    - 1 times truncation [i] based on linear OA(3³³, 6562, F₃, 7) (dual of [6562, 6529, 8]-code), using
      - the expurgated narrow-sense BCH-code C(I) with length 6562Â | 3¹⁶âˆ’1, defining interval IÂ =Â [0,3], and minimum distance dÂ â‰¥ |{−3,−2,…,3}|+1Â =Â 8 (BCH-bound) [i]
linear OOA(3¹²¹, 4194301, F₃, 2, 13) (dual of [(4194301, 2), 8388481, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3¹²¹, 8388602, F₃, 13) (dual of [8388602, 8388481, 14]-code), using
  - discarding factors / shortening the dual code based on linear OA(3¹²¹, large, F₃, 13) (dual of [large, large−121, 14]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 14348908Â | 3³⁰âˆ’1, defining interval IÂ =Â [0,6], and minimum distance dÂ â‰¥ |{−6,−5,…,6}|+1Â =Â 14 (BCH-bound) [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(3¹⁵³, 2098790, F₃, 4, 13) (dual of [(2098790, 4), 8395007, 14]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3¹⁵³, 1399193, F₃, 14, 13) (dual of [(1399193, 14), 19588549, 14]-NRT-code)	[i]		OOA Folding and Stacking with Additional Row