MinT - Information on Result #1107182

Information on Result #1107182

Linear OOA(256⁵, 131337, F₂₅₆, 5, 3) (dual of [(131337, 5), 656680, 4]-NRT-code), using appending 2 arbitrary columns based on linear OOA(256⁵, 131337, F₂₅₆, 3, 3) (dual of [(131337, 3), 394006, 4]-NRT-code), using

appending kth column [i] based on linear OOA(256⁵, 131337, F₂₅₆, 2, 3) (dual of [(131337, 2), 262669, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(256⁵, 131337, F₂₅₆, 3) (dual of [131337, 131332, 4]-code or 131337-cap in PG(4,256)), using
  - large caps in PG(4,Â b) [i]

Mode: Constructive and linear.

Optimality

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

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Linear OOA(256⁶⁸, 5164497, F₂₅₆, 5, 13) (dual of [(5164497, 5), 25822417, 14]-NRT-code)	[i]	Generalized (u,Â u+v)-Construction for OOAs
2	Linear OOA(256⁶⁵, 5164497, F₂₅₆, 5, 12) (dual of [(5164497, 5), 25822420, 13]-NRT-code)	[i]
3	Linear OOA(256⁴⁹, 3486777, F₂₅₆, 5, 11) (dual of [(3486777, 5), 17433836, 12]-NRT-code)	[i]
4	Linear OOA(256⁴⁶, 3486777, F₂₅₆, 5, 10) (dual of [(3486777, 5), 17433839, 11]-NRT-code)	[i]
5	Linear OOA(256⁴⁰, 4325637, F₂₅₆, 5, 9) (dual of [(4325637, 5), 21628145, 10]-NRT-code)	[i]