MinT - Information on Result #1590530

Information on Result #1590530

Linear OOA(2¹¹⁶, 4194306, F₂, 4, 9) (dual of [(4194306, 4), 16777108, 10]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(2¹¹⁶, 4194306, F₂, 3, 9) (dual of [(4194306, 3), 12582802, 10]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2⁴, 3, F₂, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(3;5,2) [i]
2. linear OOA(2¹¹², 4194303, F₂, 3, 9) (dual of [(4194303, 3), 12582797, 10]-NRT-code), using
  - OOAs constructed from BCH codes [i]

Mode: Linear.

None.

The following results depend on this result:

	Result		Method
1	Linear OOA(2¹¹⁶, 4194305, F₂, 5, 9) (dual of [(4194305, 5), 20971409, 10]-NRT-code)	[i]	OOA Stacking with Additional Row
2	Linear OOA(2¹¹⁶, 4194305, F₂, 6, 9) (dual of [(4194305, 6), 25165714, 10]-NRT-code)	[i]
3	Linear OOA(2¹¹⁶, 4194305, F₂, 7, 9) (dual of [(4194305, 7), 29360019, 10]-NRT-code)	[i]
4	Linear OOA(2¹¹⁶, 4194305, F₂, 8, 9) (dual of [(4194305, 8), 33554324, 10]-NRT-code)	[i]