MinT - Information on Result #1117255

Information on Result #1117255

Linear OOA(3¹⁸⁵, 4195355, F₃, 5, 11) (dual of [(4195355, 5), 20976590, 12]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3²¹, 1054, F₃, 5, 5) (dual of [(1054, 5), 5249, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(3²¹, 2109, F₃, 5) (dual of [2109, 2088, 6]-code), using
  - trace code [i] based on linear OA(27⁷, 703, F₂₇, 5) (dual of [703, 696, 6]-code), using
    - a code by Danev and Olsson [i]
linear OOA(3¹⁶⁴, 4194301, F₃, 5, 11) (dual of [(4194301, 5), 20971341, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3¹⁶⁴, 8388602, F₃, 3, 11) (dual of [(8388602, 3), 25165642, 12]-NRT-code), using
  - trace code [i] based on linear OOA(9⁸², 4194301, F₉, 3, 11) (dual of [(4194301, 3), 12582821, 12]-NRT-code), using
    - OOA 2-folding [i] based on linear OOA(9⁸², 8388602, F₉, 2, 11) (dual of [(8388602, 2), 16777122, 12]-NRT-code), using
      - trace code [i] based on linear OOA(81⁴¹, 4194301, F₈₁, 2, 11) (dual of [(4194301, 2), 8388561, 12]-NRT-code), using
        OOA 2-folding [i] based on linear OA(81⁴¹, 8388602, F₈₁, 11) (dual of [8388602, 8388561, 12]-code), using
        discarding factors / shortening the dual code based on linear OA(81⁴¹, large, F₈₁, 11) (dual of [large, large−41, 12]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 21523361Â | 81⁸âˆ’1, defining interval IÂ =Â [0,5], and minimum distance dÂ â‰¥ |{−5,−4,…,5}|+1Â =Â 12 (BCH-bound) [i]

Mode: Constructive and linear.

None.

None.