Information on Result #614053

Linear OA(5135, 625, F5, 43) (dual of [625, 490, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43

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(5139, 629, F5, 44) (dual of [629, 490, 45]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(5135, 629, F5, 43) (dual of [629, 494, 44]-code) [i]✔
3Linear OA(5144, 634, F5, 45) (dual of [634, 490, 46]-code) [i]✔
4Linear OA(5146, 636, F5, 46) (dual of [636, 490, 47]-code) [i]✔
5Linear OA(5136, 634, F5, 43) (dual of [634, 498, 44]-code) [i]✔
6Linear OA(5139, 641, F5, 43) (dual of [641, 502, 44]-code) [i]✔
7Linear OA(5141, 645, F5, 43) (dual of [645, 504, 44]-code) [i]✔
8Linear OA(5142, 648, F5, 43) (dual of [648, 506, 44]-code) [i]✔
9Linear OA(5144, 652, F5, 43) (dual of [652, 508, 44]-code) [i]✔
10Linear OA(5145, 655, F5, 43) (dual of [655, 510, 44]-code) [i]✔
11Linear OA(5147, 661, F5, 43) (dual of [661, 514, 44]-code) [i]✔
12Linear OA(5145, 632, F5, 46) (dual of [632, 487, 47]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
13Linear OA(5145, 636, F5, 45) (dual of [636, 491, 46]-code) [i]✔
14Linear OA(5138, 637, F5, 43) (dual of [637, 499, 44]-code) [i]✔
15Linear OA(5140, 643, F5, 43) (dual of [643, 503, 44]-code) [i]✔
16Linear OA(5143, 650, F5, 43) (dual of [650, 507, 44]-code) [i]✔
17Linear OA(5146, 657, F5, 43) (dual of [657, 511, 44]-code) [i]✔