MinT - Information on Result #1009332

Information on Result #1009332

Linear OOA(2²⁴⁴, 5592442, F₂, 3, 15) (dual of [(5592442, 3), 16777082, 16]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁶⁸, 4194303, F₂, 3, 7) (dual of [(4194303, 3), 12582841, 8]-NRT-code), using
- OOAs constructed from BCH codes [i]
linear OOA(2¹⁷⁶, 2796221, F₂, 3, 15) (dual of [(2796221, 3), 8388487, 16]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹⁴, 20, F₂, 3, 7) (dual of [(20, 3), 46, 8]-NRT-code), using
    - extracting embedded OOA [i] based on digital (7, 14, 20)-net over F₂, using
      - linear code embedding found in a computer search [i]
  2. linear OOA(2¹⁶², 2796201, F₂, 3, 15) (dual of [(2796201, 3), 8388441, 16]-NRT-code), using
    - OOA 3-folding [i] based on linear OA(2¹⁶², large, F₂, 15) (dual of [large, large−162, 16]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 8388607Â = 2²³âˆ’1, defining interval IÂ =Â [0,14], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 16 [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2²⁴⁴, 2796221, F₂, 5, 15) (dual of [(2796221, 5), 13980861, 16]-NRT-code)	[i]		OOA Folding
2	Linear OOA(2²⁴⁴, 2796221, F₂, 6, 15) (dual of [(2796221, 6), 16777082, 16]-NRT-code)	[i]		OOA Folding