MinT - Information on Result #1130539

Information on Result #1130539

Linear OOA(256¹⁰, 4194300, F₂₅₆, 6, 4) (dual of [(4194300, 6), 25165790, 5]-NRT-code), using OOA stacking with additional row 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]

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(256⁶⁸, 4194814, F₂₅₆, 6, 13) (dual of [(4194814, 6), 25168816, 14]-NRT-code)	[i]	Generalized (u,Â u+v)-Construction for OOAs
2	Linear OOA(256⁶⁵, 4194814, F₂₅₆, 6, 12) (dual of [(4194814, 6), 25168819, 13]-NRT-code)	[i]
3	Linear OOA(256⁶⁶, 4194557, F₂₅₆, 6, 13) (dual of [(4194557, 6), 25167276, 14]-NRT-code)	[i]
4	Linear OOA(256⁶⁷, 4259837, F₂₅₆, 6, 13) (dual of [(4259837, 6), 25558955, 14]-NRT-code)	[i]
5	Linear OOA(256⁶⁸, 4325637, F₂₅₆, 6, 13) (dual of [(4325637, 6), 25953754, 14]-NRT-code)	[i]
6	Linear OOA(256⁶³, 4194557, F₂₅₆, 6, 12) (dual of [(4194557, 6), 25167279, 13]-NRT-code)	[i]
7	Linear OOA(256⁶⁴, 4259837, F₂₅₆, 6, 12) (dual of [(4259837, 6), 25558958, 13]-NRT-code)	[i]
8	Linear OOA(256⁶⁵, 4325637, F₂₅₆, 6, 12) (dual of [(4325637, 6), 25953757, 13]-NRT-code)	[i]
9	Linear OOA(256⁴⁰, 4325637, F₂₅₆, 6, 9) (dual of [(4325637, 6), 25953782, 10]-NRT-code)	[i]