MinT - Information on Result #1059895

Information on Result #1059895

Linear OOA(3¹⁷⁷, 3292892, F₃, 4, 13) (dual of [(3292892, 4), 13171391, 14]-NRT-code), using OOA 2-folding based on linear OOA(3¹⁷⁷, 6585784, F₃, 2, 13) (dual of [(6585784, 2), 13171391, 14]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3¹⁷⁷, 6585785, F₃, 2, 13) (dual of [(6585785, 2), 13171393, 14]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. 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]
  2. 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.

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

None.