MinT - Information on Result #1079496

Information on Result #1079496

Linear OOA(2¹⁸⁴, 8388602, F₂, 4, 10) (dual of [(8388602, 4), 33554224, 11]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁴⁶, 4194305, F₂, 4, 5) (dual of [(4194305, 4), 16777174, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (41, 46, 4194305)-net over F₂, using
  - nets constructed from net-embeddable BCH codes [i]
linear OOA(2¹³⁸, 4194301, F₂, 4, 10) (dual of [(4194301, 4), 16777066, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2¹³⁸, 8388602, F₂, 2, 10) (dual of [(8388602, 2), 16777066, 11]-NRT-code), using
  - 1 step truncation [i] based on linear OOA(2¹³⁹, large, F₂, 2, 11), using
    - OOAs constructed from BCH codes [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		Method
1	Linear OOA(2¹⁸⁸, large, F₂, 4, 10)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(2¹⁹², large, F₂, 4, 10)	[i]
3	Linear OOA(2¹⁹⁶, large, F₂, 4, 10)	[i]
4	Linear OOA(2²⁰⁰, large, F₂, 4, 10)	[i]
5	Linear OOA(2²⁰⁴, large, F₂, 4, 10)	[i]
6	Linear OOA(2²⁰⁸, large, F₂, 4, 10)	[i]
7	Linear OOA(2²¹², large, F₂, 4, 10)	[i]
8	Linear OOA(2²¹⁶, large, F₂, 4, 10)	[i]
9	Linear OOA(2²²⁰, large, F₂, 4, 10)	[i]
10	Linear OOA(2²²⁸, large, F₂, 4, 10)	[i]
11	Linear OOA(2²³², large, F₂, 4, 10)	[i]
12	Linear OOA(2²³⁶, large, F₂, 4, 10)	[i]
13	Linear OOA(2²⁴⁰, large, F₂, 4, 10)	[i]
14	Linear OOA(2²⁴⁴, large, F₂, 4, 10)	[i]
15	Linear OOA(2²⁵², large, F₂, 4, 10)	[i]
16	Linear OOA(2²⁵⁶, large, F₂, 4, 10)	[i]
17	Linear OOA(2²⁶⁰, large, F₂, 4, 10)	[i]
18	Linear OOA(2¹⁸⁶, 8388602, F₂, 4, 10) (dual of [(8388602, 4), 33554222, 11]-NRT-code)	[i]	OOA Duplication
19	Linear OOA(2¹⁸⁷, 8388602, F₂, 4, 10) (dual of [(8388602, 4), 33554221, 11]-NRT-code)	[i]	OOA Duplication