Information on Result #689138

Linear OA(9121, 531441, F9, 23) (dual of [531441, 531320, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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(9121, 307751, F9, 2, 23) (dual of [(307751, 2), 615381, 24]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(9121, 307751, F9, 3, 23) (dual of [(307751, 3), 923132, 24]-NRT-code) [i]
3Digital (98, 121, 307751)-net over F9 [i]
4Linear OA(9127, 531447, F9, 24) (dual of [531447, 531320, 25]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(9121, 531447, F9, 23) (dual of [531447, 531326, 24]-code) [i]✔
6Linear OA(9142, 531462, F9, 26) (dual of [531462, 531320, 27]-code) [i]✔
7Linear OA(9124, 531462, F9, 23) (dual of [531462, 531338, 24]-code) [i]✔
8Linear OA(9128, 531478, F9, 23) (dual of [531478, 531350, 24]-code) [i]✔
9Linear OA(9131, 531482, F9, 23) (dual of [531482, 531351, 24]-code) [i]✔
10Linear OA(9132, 531488, F9, 23) (dual of [531488, 531356, 24]-code) [i]✔
11Linear OA(9131, 531483, F9, 23) (dual of [531483, 531352, 24]-code) [i]✔
12Linear OA(9133, 531495, F9, 23) (dual of [531495, 531362, 24]-code) [i]✔
13Linear OA(9131, 531486, F9, 23) (dual of [531486, 531355, 24]-code) [i]✔
14Linear OA(9150, 531465, F9, 28) (dual of [531465, 531315, 29]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
15Linear OA(9141, 531456, F9, 26) (dual of [531456, 531315, 27]-code) [i]✔