MinT - Information on Result #1013075

Information on Result #1013075

Linear OOA(5¹⁰⁷, 4194902, F₅, 3, 10) (dual of [(4194902, 3), 12584599, 11]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(5¹⁵, 601, F₅, 3, 5) (dual of [(601, 3), 1788, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(5¹⁵, 1203, F₅, 5) (dual of [1203, 1188, 6]-code), using
  - 1 times code embedding in larger space [i] based on linear OA(5¹⁴, 1202, F₅, 5) (dual of [1202, 1188, 6]-code), using
    - trace code [i] based on linear OA(25⁷, 601, F₂₅, 5) (dual of [601, 594, 6]-code), using
      - a code by Danev and Olsson [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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