MinT - Information on Result #1060852

Information on Result #1060852

Linear OOA(3²⁴⁷, 2097332, F₃, 4, 21) (dual of [(2097332, 4), 8389081, 22]-NRT-code), using OOA 2-folding based on linear OOA(3²⁴⁷, 4194664, F₃, 2, 21) (dual of [(4194664, 2), 8389081, 22]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3²⁴⁷, 4194665, F₃, 2, 21) (dual of [(4194665, 2), 8389083, 22]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3³⁷, 364, F₃, 2, 10) (dual of [(364, 2), 691, 11]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(3³⁷, 728, F₃, 10) (dual of [728, 691, 11]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 728Â = 3⁶âˆ’1, defining interval IÂ =Â [0,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [i]
  2. linear OOA(3²¹⁰, 4194301, F₃, 2, 21) (dual of [(4194301, 2), 8388392, 22]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(3²¹⁰, 8388602, F₃, 21) (dual of [8388602, 8388392, 22]-code), using
      - discarding factors / shortening the dual code based on linear OA(3²¹⁰, large, F₃, 21) (dual of [large, large−210, 22]-code), using
        the primitive narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [1,21], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 22 [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.