MinT - Information on Result #895071

Information on Result #895071

Linear OOA(3¹⁷⁷, 6585785, F₃, 2, 13) (dual of [(6585785, 2), 13171393, 14]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3⁵⁶, 2391484, F₃, 2, 6) (dual of [(2391484, 2), 4782912, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3⁵⁶, 4782968, F₃, 6) (dual of [4782968, 4782912, 7]-code), using
  - discarding factors / shortening the dual code based on linear OA(3⁵⁶, 4782969, F₃, 6) (dual of [4782969, 4782913, 7]-code), using
    - 1 times truncation [i] based on linear OA(3⁵⁷, 4782970, F₃, 7) (dual of [4782970, 4782913, 8]-code), using
      - the expurgated narrow-sense BCH-code C(I) with length 4782970Â | 3²⁸âˆ’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		Method
1	Linear OOA(3¹⁷⁷, 3292892, F₃, 3, 13) (dual of [(3292892, 3), 9878499, 14]-NRT-code)	[i]	OOA Folding
2	Linear OOA(3¹⁷⁷, 3292892, F₃, 4, 13) (dual of [(3292892, 4), 13171391, 14]-NRT-code)	[i]	OOA Folding
3	Linear OOA(3¹⁷⁷, 2195261, F₃, 14, 13) (dual of [(2195261, 14), 30733477, 14]-NRT-code)	[i]	OOA Folding and Stacking with Additional Row