MinT - Information on Result #905563

Information on Result #905563

Linear OOA(256³⁵, 8388602, F₂₅₆, 2, 9) (dual of [(8388602, 2), 16777169, 10]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(256¹⁰, 4194301, F₂₅₆, 2, 4) (dual of [(4194301, 2), 8388592, 5]-NRT-code), using
- OOA 2-folding [i] based on linear OA(256¹⁰, 8388602, F₂₅₆, 4) (dual of [8388602, 8388592, 5]-code), using
  - discarding factors / shortening the dual code based on linear OA(256¹⁰, large, F₂₅₆, 4) (dual of [large, large−10, 5]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,3], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 5 [i]
linear OOA(256²⁵, 4194301, F₂₅₆, 2, 9) (dual of [(4194301, 2), 8388577, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(256²⁵, 8388602, F₂₅₆, 9) (dual of [8388602, 8388577, 10]-code), using
  - discarding factors / shortening the dual code based on linear OA(256²⁵, large, F₂₅₆, 9) (dual of [large, large−25, 10]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,8], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 10 [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		Method
1	OOA(128⁴⁰, 8388602, S₁₂₈, 2, 9)	[i]	Discarding Parts of the Base for OOAs
2	Linear OOA(256³⁵, 4194301, F₂₅₆, 3, 9) (dual of [(4194301, 3), 12582868, 10]-NRT-code)	[i]	OOA Folding
3	Linear OOA(256³⁵, 4194301, F₂₅₆, 4, 9) (dual of [(4194301, 4), 16777169, 10]-NRT-code)	[i]	OOA Folding