MinT - Information on Result #2694652

Information on Result #2694652

Linear OOA(5⁸⁵, 4194901, F₅, 3, 8) (dual of [(4194901, 3), 12584618, 9]-NRT-code), using 5¹ times duplication based on linear OOA(5⁸⁴, 4194901, F₅, 3, 8) (dual of [(4194901, 3), 12584619, 9]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(5¹², 600, F₅, 3, 4) (dual of [(600, 3), 1788, 5]-NRT-code), using
  - OA 2-folding and stacking [i] based on linear OA(5¹², 1200, F₅, 4) (dual of [1200, 1188, 5]-code), using
    - trace code [i] based on linear OA(25⁶, 600, F₂₅, 4) (dual of [600, 594, 5]-code), using
      - 1 times truncation [i] based on linear OA(25⁷, 601, F₂₅, 5) (dual of [601, 594, 6]-code), using
        a code by Danev and Olsson [i]
2. linear OOA(5⁷², 4194301, F₅, 3, 8) (dual of [(4194301, 3), 12582831, 9]-NRT-code), using
  - OOA 2-folding [i] based on linear OOA(5⁷², 8388602, F₅, 2, 8) (dual of [(8388602, 2), 16777132, 9]-NRT-code), using
    - trace code [i] based on linear OOA(25³⁶, 4194301, F₂₅, 2, 8) (dual of [(4194301, 2), 8388566, 9]-NRT-code), using
      - OOA 2-folding [i] based on linear OA(25³⁶, 8388602, F₂₅, 8) (dual of [8388602, 8388566, 9]-code), using
        discarding factors / shortening the dual code based on linear OA(25³⁶, large, F₂₅, 8) (dual of [large, large−36, 9]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 9765624Â = 25⁵âˆ’1, defining interval IÂ =Â [0,7], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 9 [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.