MinT - Information on Result #1080919

Information on Result #1080919

Linear OOA(3¹²⁰, 4194302, F₃, 4, 9) (dual of [(4194302, 4), 16777088, 10]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3²⁸, 2391485, F₃, 4, 4) (dual of [(2391485, 4), 9565912, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(3²⁸, 2391485, F₃, 3, 4) (dual of [(2391485, 3), 7174427, 5]-NRT-code), using
  - extracting embedded OOA [i] based on digital (24, 28, 2391485)-net over F₃, using
    - nets constructed from net-embeddable BCH codes [i]
linear OOA(3⁹², 2097151, F₃, 4, 9) (dual of [(2097151, 4), 8388512, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3⁹², 4194302, F₃, 2, 9) (dual of [(4194302, 2), 8388512, 10]-NRT-code), using
  - 1 times NRT-code embedding in larger space [i] based on linear OOA(3⁹⁰, 4194301, F₃, 2, 9) (dual of [(4194301, 2), 8388512, 10]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(3⁹⁰, 8388602, F₃, 9) (dual of [8388602, 8388512, 10]-code), using
      - discarding factors / shortening the dual code based on linear OA(3⁹⁰, large, F₃, 9) (dual of [large, large−90, 10]-code), using
        the primitive narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [1,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 10 [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(3¹²⁰, 4194301, F₃, 5, 9) (dual of [(4194301, 5), 20971385, 10]-NRT-code)	[i]		OOA Stacking with Additional Row
2	Linear OOA(3¹²⁰, 4194301, F₃, 12, 9) (dual of [(4194301, 12), 50331492, 10]-NRT-code)	[i]		OOA Stacking with Additional Row