Information on Result #615606
Linear OA(953, 6561, F9, 15) (dual of [6561, 6508, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, 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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(953, 4641, F9, 2, 15) (dual of [(4641, 2), 9229, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(953, 4641, F9, 3, 15) (dual of [(4641, 3), 13870, 16]-NRT-code) | [i] | ||
| 3 | Digital (38, 53, 4641)-net over F9 | [i] | ||
| 4 | Linear OA(957, 6565, F9, 16) (dual of [6565, 6508, 17]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(953, 6565, F9, 15) (dual of [6565, 6512, 16]-code) | [i] | ✔ | |
| 6 | Linear OA(962, 6570, F9, 17) (dual of [6570, 6508, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(954, 6570, F9, 15) (dual of [6570, 6516, 16]-code) | [i] | ✔ | |
| 8 | Linear OA(969, 6577, F9, 19) (dual of [6577, 6508, 20]-code) | [i] | ✔ | |
| 9 | Linear OA(956, 6576, F9, 15) (dual of [6576, 6520, 16]-code) | [i] | ✔ | |
| 10 | Linear OA(975, 6583, F9, 20) (dual of [6583, 6508, 21]-code) | [i] | ✔ | |
| 11 | Linear OA(957, 6581, F9, 15) (dual of [6581, 6524, 16]-code) | [i] | ✔ | |
| 12 | Linear OA(980, 6588, F9, 21) (dual of [6588, 6508, 22]-code) | [i] | ✔ | |
| 13 | Linear OA(974, 6581, F9, 20) (dual of [6581, 6507, 21]-code) | [i] | ✔ | |
| 14 | Linear OA(985, 6590, F9, 22) (dual of [6590, 6505, 23]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 15 | Linear OA(981, 6590, F9, 21) (dual of [6590, 6509, 22]-code) | [i] | ✔ | |
| 16 | Linear OA(974, 6579, F9, 20) (dual of [6579, 6505, 21]-code) | [i] | ✔ | |
| 17 | Linear OA(970, 6579, F9, 19) (dual of [6579, 6509, 20]-code) | [i] | ✔ | |
| 18 | Linear OA(963, 6572, F9, 17) (dual of [6572, 6509, 18]-code) | [i] | ✔ | |
| 19 | Linear OA(955, 6572, F9, 15) (dual of [6572, 6517, 16]-code) | [i] | ✔ | |
| 20 | Linear OOA(953, 937, F9, 15, 15) (dual of [(937, 15), 14002, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |