MinT - Information on Result #1083696

Information on Result #1083696

Linear OOA(256²⁸, 2129790, F₂₅₆, 4, 8) (dual of [(2129790, 4), 8519132, 9]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(256⁶, 32640, F₂₅₆, 4, 4) (dual of [(32640, 4), 130554, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(256⁶, 65280, F₂₅₆, 4) (dual of [65280, 65274, 5]-code), using
  - 1 times truncation [i] based on linear OA(256⁷, 65281, F₂₅₆, 5) (dual of [65281, 65274, 6]-code), using
    - a code by Danev and Olsson [i]
linear OOA(256²², 2097150, F₂₅₆, 4, 8) (dual of [(2097150, 4), 8388578, 9]-NRT-code), using
- OOA 4-folding [i] based on linear OA(256²², 8388600, F₂₅₆, 8) (dual of [8388600, 8388578, 9]-code), using
  - discarding factors / shortening the dual code based on linear OA(256²², large, F₂₅₆, 8) (dual of [large, large−22, 9]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,7], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 9 [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		Method
1	Linear OOA(256³⁸, 4259580, F₂₅₆, 4, 8) (dual of [(4259580, 4), 17038282, 9]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(256²⁸, 2129789, F₂₅₆, 5, 8) (dual of [(2129789, 5), 10648917, 9]-NRT-code)	[i]	OOA Stacking with Additional Row
3	Linear OOA(256²⁸, 2129789, F₂₅₆, 6, 8) (dual of [(2129789, 6), 12778706, 9]-NRT-code)	[i]
4	Linear OOA(256²⁸, 2129789, F₂₅₆, 12, 8) (dual of [(2129789, 12), 25557440, 9]-NRT-code)	[i]