Information on Result #613826

Linear OA(5137, 390625, F5, 22) (dual of [390625, 390488, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22

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:

ResultThis
result
only		Method
1Linear OA(5148, 390637, F5, 22) (dual of [390637, 390489, 23]-code) [i](u, u+v)-Construction
2Linear OA(5150, 390641, F5, 22) (dual of [390641, 390491, 23]-code) [i]
3Linear OA(5145, 390633, F5, 23) (dual of [390633, 390488, 24]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(5137, 390633, F5, 22) (dual of [390633, 390496, 23]-code) [i]✔
5Linear OA(5140, 390644, F5, 22) (dual of [390644, 390504, 23]-code) [i]✔
6Linear OA(5141, 390651, F5, 22) (dual of [390651, 390510, 23]-code) [i]✔
7Linear OA(5142, 390654, F5, 22) (dual of [390654, 390512, 23]-code) [i]✔
8Linear OA(5145, 390665, F5, 22) (dual of [390665, 390520, 23]-code) [i]✔
9Linear OA(5147, 390675, F5, 22) (dual of [390675, 390528, 23]-code) [i]✔
10Linear OA(5144, 390664, F5, 22) (dual of [390664, 390520, 23]-code) [i]✔
11Linear OA(5146, 390669, F5, 22) (dual of [390669, 390523, 23]-code) [i]✔
12Linear OA(5146, 390671, F5, 22) (dual of [390671, 390525, 23]-code) [i]✔
13Linear OA(5146, 390674, F5, 22) (dual of [390674, 390528, 23]-code) [i]✔
14Linear OA(5150, 390686, F5, 22) (dual of [390686, 390536, 23]-code) [i]✔
15Linear OA(5139, 390636, F5, 22) (dual of [390636, 390497, 23]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
16Linear OA(5144, 390658, F5, 22) (dual of [390658, 390514, 23]-code) [i]✔
17Linear OA(5143, 390656, F5, 22) (dual of [390656, 390513, 23]-code) [i]✔