MinT - Information on Result #1059771

Information on Result #1059771

Linear OOA(3¹³⁷, 2097177, F₃, 4, 12) (dual of [(2097177, 4), 8388571, 13]-NRT-code), using OOA 2-folding based on linear OOA(3¹³⁷, 4194354, F₃, 2, 12) (dual of [(4194354, 2), 8388571, 13]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3¹³⁷, 4194355, F₃, 2, 12) (dual of [(4194355, 2), 8388573, 13]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3¹⁷, 54, F₃, 2, 6) (dual of [(54, 2), 91, 7]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(3¹⁷, 108, F₃, 6) (dual of [108, 91, 7]-code), using
      - codes constructed by inverting constructionÂ Y₁ [i]
  2. linear OOA(3¹²⁰, 4194301, F₃, 2, 12) (dual of [(4194301, 2), 8388482, 13]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(3¹²⁰, 8388602, F₃, 12) (dual of [8388602, 8388482, 13]-code), using
      - discarding factors / shortening the dual code based on linear OA(3¹²⁰, large, F₃, 12) (dual of [large, large−120, 13]-code), using
        the primitive narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [1,12], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 13 [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.