MinT - Information on Result #1013038

Information on Result #1013038

Linear OOA(5⁹⁴, 4194901, F₅, 3, 9) (dual of [(4194901, 3), 12584609, 10]-NRT-code), using (u,Â u+v)-construction based on

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]
linear OOA(5⁸², 4194301, F₅, 3, 9) (dual of [(4194301, 3), 12582821, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(5⁸², 8388602, F₅, 2, 9) (dual of [(8388602, 2), 16777122, 10]-NRT-code), using
  - trace code [i] based on linear OOA(25⁴¹, 4194301, F₂₅, 2, 9) (dual of [(4194301, 2), 8388561, 10]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(25⁴¹, 8388602, F₂₅, 9) (dual of [8388602, 8388561, 10]-code), using
      - discarding factors / shortening the dual code based on linear OA(25⁴¹, large, F₂₅, 9) (dual of [large, large−41, 10]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 9765626Â | 25¹⁰âˆ’1, defining interval IÂ =Â [0,4], and minimum distance dÂ â‰¥ |{−4,−3,…,4}|+1Â =Â 10 (BCH-bound) [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(5⁹⁵, 4194901, F₅, 3, 9) (dual of [(4194901, 3), 12584608, 10]-NRT-code)	[i]		OOA Duplication