MinT - Information on Result #1079319

Information on Result #1079319

Linear OOA(2¹⁵⁴, 4718590, F₂, 4, 8) (dual of [(4718590, 4), 18874206, 9]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2³⁹, 524289, F₂, 4, 4) (dual of [(524289, 4), 2097117, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(2³⁹, 524289, F₂, 3, 4) (dual of [(524289, 3), 1572828, 5]-NRT-code), using
  - extracting embedded OOA [i] based on digital (35, 39, 524289)-net over F₂, using
    - nets constructed from net-embeddable BCH codes [i]
linear OOA(2¹¹⁵, 4194301, F₂, 4, 8) (dual of [(4194301, 4), 16777089, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2¹¹⁵, 8388602, F₂, 2, 8) (dual of [(8388602, 2), 16777089, 9]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(2¹¹⁵, large, F₂, 2, 8), using
    - OOAs constructed from BCH codes [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		Method
1	Linear OOA(2¹⁵⁴, 4718589, F₂, 5, 8) (dual of [(4718589, 5), 23592791, 9]-NRT-code)	[i]	OOA Stacking with Additional Row
2	Linear OOA(2¹⁵⁴, 4718589, F₂, 6, 8) (dual of [(4718589, 6), 28311380, 9]-NRT-code)	[i]
3	Linear OOA(2¹⁵⁴, 4718589, F₂, 7, 8) (dual of [(4718589, 7), 33029969, 9]-NRT-code)	[i]
4	Linear OOA(2¹⁵⁴, 4718589, F₂, 8, 8) (dual of [(4718589, 8), 37748558, 9]-NRT-code)	[i]