MinT - Information on Result #1143518

Information on Result #1143518

Linear OOA(2²⁰³, 2796200, F₂, 6, 13) (dual of [(2796200, 6), 16776997, 14]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁶⁴, 2097149, F₂, 6, 6) (dual of [(2097149, 6), 12582830, 7]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(2⁶⁴, 2097150, F₂, 3, 6) (dual of [(2097150, 3), 6291386, 7]-NRT-code), using
  - 1 step truncation [i] based on linear OOA(2⁶⁵, 2097151, F₂, 3, 7) (dual of [(2097151, 3), 6291388, 8]-NRT-code), using
    - OOAs constructed from BCH codes [i]
linear OOA(2¹³⁹, 1398100, F₂, 6, 13) (dual of [(1398100, 6), 8388461, 14]-NRT-code), using
- OOA 6-folding [i] based on linear OA(2¹³⁹, 8388600, F₂, 13) (dual of [8388600, 8388461, 14]-code), using
  - discarding factors / shortening the dual code based on linear OA(2¹³⁹, large, F₂, 13) (dual of [large, large−139, 14]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 8388609Â | 2⁴⁶âˆ’1, defining interval IÂ =Â [0,6], and minimum distance dÂ â‰¥ |{−6,−5,…,6}|+1Â =Â 14 (BCH-bound) [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		Method
1	Linear OOA(2²⁰³, 2796200, F₂, 6, 12) (dual of [(2796200, 6), 16776997, 13]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²⁰⁴, 2796200, F₂, 6, 13) (dual of [(2796200, 6), 16776996, 14]-NRT-code)	[i]	OOA Duplication
3	Linear OOA(2²⁰⁵, 2796200, F₂, 6, 13) (dual of [(2796200, 6), 16776995, 14]-NRT-code)	[i]	OOA Duplication
4	Linear OOA(2²⁰³, 2796199, F₂, 7, 13) (dual of [(2796199, 7), 19573190, 14]-NRT-code)	[i]	OOA Stacking with Additional Row
5	Linear OOA(2²⁰³, 2796199, F₂, 8, 13) (dual of [(2796199, 8), 22369389, 14]-NRT-code)	[i]
6	Linear OOA(2²⁰³, 2796199, F₂, 18, 13) (dual of [(2796199, 18), 50331379, 14]-NRT-code)	[i]