MinT - Information on Result #896588

Information on Result #896588

Linear OOA(8¹²⁷, 4194332, F₈, 2, 17) (dual of [(4194332, 2), 8388537, 18]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(8¹⁴, 31, F₈, 2, 8) (dual of [(31, 2), 48, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8¹⁴, 62, F₈, 8) (dual of [62, 48, 9]-code), using
  - discarding factors / shortening the dual code based on linear OA(8¹⁴, 63, F₈, 8) (dual of [63, 49, 9]-code), using
    - 2 times truncation [i] based on linear OA(8¹⁶, 65, F₈, 10) (dual of [65, 49, 11]-code), using
      - the BCH-code C(I) with length 65Â | 8⁴âˆ’1, defining interval IÂ =Â {1,8,15,…,64}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [i]
linear OOA(8¹¹³, 4194301, F₈, 2, 17) (dual of [(4194301, 2), 8388489, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8¹¹³, 8388602, F₈, 17) (dual of [8388602, 8388489, 18]-code), using
  - discarding factors / shortening the dual code based on linear OA(8¹¹³, large, F₈, 17) (dual of [large, large−113, 18]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 8¹⁶âˆ’1, defining interval IÂ =Â [0,8], and minimum distance dÂ â‰¥ |{−8,−7,…,8}|+1Â =Â 18 (BCH-bound) [i]

Mode: Constructive and linear.

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