MinT - Information on Result #1307676

Information on Result #1307676

Linear OA(4⁶⁵, 522, F₄, 18) (dual of [522, 457, 19]-code), using 7 step VarÅ¡amovâ€“Edel lengthening with (r_i)Â = (1, 6 times 0) based on linear OA(4⁶⁴, 514, F₄, 18) (dual of [514, 450, 19]-code), using

trace code [i] based on linear OA(16³², 257, F₁₆, 18) (dual of [257, 225, 19]-code), using
- the BCH-code C(I) with length 257Â | 16⁴âˆ’1, defining interval IÂ =Â {1,16,31,…,256}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 19 [i]

Mode: 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(4⁶⁵, 522, F₄, 2, 18) (dual of [(522, 2), 979, 19]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(4⁶⁵, 522, F₄, 3, 18) (dual of [(522, 3), 1501, 19]-NRT-code)	[i]
3	Digital (47, 65, 522)-net over F₄	[i]