Information on Result #615634

Linear OA(991, 531441, F9, 17) (dual of [531441, 531350, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17

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 OOA(991, 426701, F9, 2, 17) (dual of [(426701, 2), 853311, 18]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(991, 426701, F9, 3, 17) (dual of [(426701, 3), 1280012, 18]-NRT-code) [i]
3Digital (74, 91, 426701)-net over F9 [i]
4Linear OA(998, 531448, F9, 19) (dual of [531448, 531350, 20]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(991, 531447, F9, 17) (dual of [531447, 531356, 18]-code) [i]✔
6Linear OA(9105, 531451, F9, 20) (dual of [531451, 531346, 21]-code) [i]✔
7Linear OA(9106, 531456, F9, 20) (dual of [531456, 531350, 21]-code) [i]✔
8Linear OA(992, 531454, F9, 17) (dual of [531454, 531362, 18]-code) [i]✔
9Linear OA(9113, 531463, F9, 21) (dual of [531463, 531350, 22]-code) [i]✔
10Linear OA(994, 531462, F9, 17) (dual of [531462, 531368, 18]-code) [i]✔
11Linear OA(9121, 531471, F9, 22) (dual of [531471, 531350, 23]-code) [i]✔
12Linear OA(995, 531469, F9, 17) (dual of [531469, 531374, 18]-code) [i]✔
13Linear OA(9128, 531478, F9, 23) (dual of [531478, 531350, 24]-code) [i]✔
14Linear OA(997, 531477, F9, 17) (dual of [531477, 531380, 18]-code) [i]✔
15Linear OA(9137, 531482, F9, 24) (dual of [531482, 531345, 25]-code) [i]✔
16Linear OA(9138, 531488, F9, 24) (dual of [531488, 531350, 25]-code) [i]✔
17Linear OA(9137, 531483, F9, 24) (dual of [531483, 531346, 25]-code) [i]✔
18Linear OA(9145, 531495, F9, 25) (dual of [531495, 531350, 26]-code) [i]✔
19Linear OA(9137, 531486, F9, 24) (dual of [531486, 531349, 25]-code) [i]✔
20Linear OA(9120, 531465, F9, 22) (dual of [531465, 531345, 23]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
21Linear OA(9114, 531465, F9, 21) (dual of [531465, 531351, 22]-code) [i]✔
22Linear OA(993, 531456, F9, 17) (dual of [531456, 531363, 18]-code) [i]✔
23Linear OA(996, 531471, F9, 17) (dual of [531471, 531375, 18]-code) [i]✔
24Linear OOA(991, 66430, F9, 17, 17) (dual of [(66430, 17), 1129219, 18]-NRT-code) [i]OOA Folding and Stacking with Additional Row