MinT - Information on Result #2522955

Information on Result #2522955

Linear OOA(256⁴⁴, 4194301, F₂₅₆, 2, 15) (dual of [(4194301, 2), 8388558, 16]-NRT-code), using 256¹ times duplication based on linear OOA(256⁴³, 4194301, F₂₅₆, 2, 15) (dual of [(4194301, 2), 8388559, 16]-NRT-code), using

OOA 2-folding [i] based on linear OA(256⁴³, 8388602, F₂₅₆, 15) (dual of [8388602, 8388559, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(256⁴³, large, F₂₅₆, 15) (dual of [large, large−43, 16]-code), using
  - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,14], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 16 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Linear OOA(256⁴⁴, 4194301, F₂₅₆, 3, 15) (dual of [(4194301, 3), 12582859, 16]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(256⁴⁴, 4194301, F₂₅₆, 4, 15) (dual of [(4194301, 4), 16777160, 16]-NRT-code)	[i]
3	Linear OOA(256⁴⁴, 4194301, F₂₅₆, 5, 15) (dual of [(4194301, 5), 20971461, 16]-NRT-code)	[i]
4	Linear OOA(256⁴⁴, 4194301, F₂₅₆, 6, 15) (dual of [(4194301, 6), 25165762, 16]-NRT-code)	[i]
5	Digital (29, 44, 4194301)-net over F₂₅₆	[i]