Information on Result #615608

Linear OA(979, 531441, F9, 15) (dual of [531441, 531362, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15

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(979, 376498, F9, 2, 15) (dual of [(376498, 2), 752917, 16]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(979, 376498, F9, 3, 15) (dual of [(376498, 3), 1129415, 16]-NRT-code) [i]
3Digital (64, 79, 376498)-net over F9 [i]
4Linear OA(985, 531447, F9, 16) (dual of [531447, 531362, 17]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(979, 531447, F9, 15) (dual of [531447, 531368, 16]-code) [i]✔
6Linear OA(992, 531454, F9, 17) (dual of [531454, 531362, 18]-code) [i]✔
7Linear OA(980, 531454, F9, 15) (dual of [531454, 531374, 16]-code) [i]✔
8Linear OA(9101, 531463, F9, 19) (dual of [531463, 531362, 20]-code) [i]✔
9Linear OA(982, 531462, F9, 15) (dual of [531462, 531380, 16]-code) [i]✔
10Linear OA(9109, 531471, F9, 20) (dual of [531471, 531362, 21]-code) [i]✔
11Linear OA(983, 531469, F9, 15) (dual of [531469, 531386, 16]-code) [i]✔
12Linear OA(9116, 531478, F9, 21) (dual of [531478, 531362, 22]-code) [i]✔
13Linear OA(985, 531477, F9, 15) (dual of [531477, 531392, 16]-code) [i]✔
14Linear OA(9125, 531482, F9, 22) (dual of [531482, 531357, 23]-code) [i]✔
15Linear OA(9126, 531488, F9, 22) (dual of [531488, 531362, 23]-code) [i]✔
16Linear OA(9125, 531483, F9, 22) (dual of [531483, 531358, 23]-code) [i]✔
17Linear OA(9133, 531495, F9, 23) (dual of [531495, 531362, 24]-code) [i]✔
18Linear OA(9125, 531486, F9, 22) (dual of [531486, 531361, 23]-code) [i]✔
19Linear OA(9125, 531487, F9, 22) (dual of [531487, 531362, 23]-code) [i]✔
20Linear OA(9108, 531465, F9, 20) (dual of [531465, 531357, 21]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
21Linear OA(999, 531456, F9, 18) (dual of [531456, 531357, 19]-code) [i]✔
22Linear OA(9102, 531465, F9, 19) (dual of [531465, 531363, 20]-code) [i]✔
23Linear OA(993, 531456, F9, 17) (dual of [531456, 531363, 18]-code) [i]✔
24Linear OA(981, 531456, F9, 15) (dual of [531456, 531375, 16]-code) [i]✔
25Linear OA(984, 531471, F9, 15) (dual of [531471, 531387, 16]-code) [i]✔
26Linear OOA(979, 75920, F9, 15, 15) (dual of [(75920, 15), 1138721, 16]-NRT-code) [i]OOA Folding and Stacking with Additional Row