MinT - Information on Result #1081291

Information on Result #1081291

Linear OOA(3¹⁸², 2097173, F₃, 4, 17) (dual of [(2097173, 4), 8388510, 18]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3¹⁴, 22, F₃, 4, 8) (dual of [(22, 4), 74, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 14, 22)-net over F₃, using
  - linear code embedding found in a computer search [i]
linear OOA(3¹⁶⁸, 2097151, F₃, 4, 17) (dual of [(2097151, 4), 8388436, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3¹⁶⁸, 4194302, F₃, 2, 17) (dual of [(4194302, 2), 8388436, 18]-NRT-code), using
  - 1 times NRT-code embedding in larger space [i] based on linear OOA(3¹⁶⁶, 4194301, F₃, 2, 17) (dual of [(4194301, 2), 8388436, 18]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(3¹⁶⁶, 8388602, F₃, 17) (dual of [8388602, 8388436, 18]-code), using
      - discarding factors / shortening the dual code based on linear OA(3¹⁶⁶, large, F₃, 17) (dual of [large, large−166, 18]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,16], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 18 [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(3¹⁸³, 2097173, F₃, 4, 17) (dual of [(2097173, 4), 8388509, 18]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(3¹⁸², 1048586, F₃, 20, 17) (dual of [(1048586, 20), 20971538, 18]-NRT-code)	[i]		OOA Folding and Stacking with Additional Row