MinT - Information on Result #1079386

Information on Result #1079386

Linear OOA(2¹³¹, 4194450, F₂, 4, 9) (dual of [(4194450, 4), 16777669, 10]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹⁵, 149, F₂, 4, 4) (dual of [(149, 4), 581, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(2¹⁵, 149, F₂, 3, 4) (dual of [(149, 3), 432, 5]-NRT-code), using
  - extracting embedded OOA [i] based on digital (11, 15, 149)-net over F₂, using
    - linear code embedding found in a computer search [i]
linear OOA(2¹¹⁶, 4194301, F₂, 4, 9) (dual of [(4194301, 4), 16777088, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2¹¹⁶, 8388602, F₂, 2, 9) (dual of [(8388602, 2), 16777088, 10]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(2¹¹⁶, large, F₂, 2, 9), using
    - OOAs constructed from BCH codes [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		Method
1	Linear OOA(2¹³¹, 4194449, F₂, 5, 9) (dual of [(4194449, 5), 20972114, 10]-NRT-code)	[i]	OOA Stacking with Additional Row
2	Linear OOA(2¹³¹, 4194449, F₂, 6, 9) (dual of [(4194449, 6), 25166563, 10]-NRT-code)	[i]
3	Linear OOA(2¹³¹, 4194449, F₂, 7, 9) (dual of [(4194449, 7), 29361012, 10]-NRT-code)	[i]
4	Linear OOA(2¹³¹, 4194449, F₂, 8, 9) (dual of [(4194449, 8), 33555461, 10]-NRT-code)	[i]