MinT - Information on Result #1013084

Information on Result #1013084

Linear OOA(5¹¹⁶, 4202112, F₅, 3, 10) (dual of [(4202112, 3), 12606220, 11]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(5²⁴, 7811, F₅, 3, 5) (dual of [(7811, 3), 23409, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(5²⁴, 15623, F₅, 5) (dual of [15623, 15599, 6]-code), using
  - discarding factors / shortening the dual code based on linear OA(5²⁴, 15624, F₅, 5) (dual of [15624, 15600, 6]-code), using
    - the primitive narrow-sense BCH-code C(I) with length 15624Â = 5⁶âˆ’1, defining interval IÂ =Â [1,5], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 6 [i]
linear OOA(5⁹², 4194301, F₅, 3, 10) (dual of [(4194301, 3), 12582811, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(5⁹², 8388602, F₅, 2, 10) (dual of [(8388602, 2), 16777112, 11]-NRT-code), using
  - trace code [i] based on linear OOA(25⁴⁶, 4194301, F₂₅, 2, 10) (dual of [(4194301, 2), 8388556, 11]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(25⁴⁶, 8388602, F₂₅, 10) (dual of [8388602, 8388556, 11]-code), using
      - discarding factors / shortening the dual code based on linear OA(25⁴⁶, large, F₂₅, 10) (dual of [large, large−46, 11]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 9765624Â = 25⁵âˆ’1, defining interval IÂ =Â [0,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [i]

Mode: Constructive and linear.

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