Information on Result #615049
Linear OA(8148, 2097152, F8, 25) (dual of [2097152, 2097004, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25
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 OA(8147, 2097151, F8, 24) (dual of [2097151, 2097004, 25]-code) | [i] | Truncation | |
| 2 | Linear OA(8160, 2097165, F8, 25) (dual of [2097165, 2097005, 26]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8161, 2097167, F8, 25) (dual of [2097167, 2097006, 26]-code) | [i] | ||
| 4 | Linear OA(8162, 2097169, F8, 25) (dual of [2097169, 2097007, 26]-code) | [i] | ||
| 5 | Linear OA(8163, 2097176, F8, 25) (dual of [2097176, 2097013, 26]-code) | [i] | ||
| 6 | Linear OA(8164, 2097178, F8, 25) (dual of [2097178, 2097014, 26]-code) | [i] | ||
| 7 | Linear OA(8165, 2097180, F8, 25) (dual of [2097180, 2097015, 26]-code) | [i] | ||
| 8 | Linear OA(8166, 2097182, F8, 25) (dual of [2097182, 2097016, 26]-code) | [i] | ||
| 9 | Linear OA(8167, 2097186, F8, 25) (dual of [2097186, 2097019, 26]-code) | [i] | ||
| 10 | Linear OA(8168, 2097217, F8, 25) (dual of [2097217, 2097049, 26]-code) | [i] | ||
| 11 | Linear OA(8168, 2097173, F8, 25) (dual of [2097173, 2097005, 26]-code) | [i] | Generalized (u, u+v)-Construction | |
| 12 | Linear OA(8165, 2097170, F8, 25) (dual of [2097170, 2097005, 26]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 13 | Linear OA(8168, 2097174, F8, 25) (dual of [2097174, 2097006, 26]-code) | [i] | ||
| 14 | Linear OA(8155, 2097159, F8, 26) (dual of [2097159, 2097004, 27]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 15 | Linear OA(8149, 2097160, F8, 25) (dual of [2097160, 2097011, 26]-code) | [i] | ✔ | |
| 16 | Linear OA(8163, 2097167, F8, 27) (dual of [2097167, 2097004, 28]-code) | [i] | ✔ | |
| 17 | Linear OA(8149, 2097167, F8, 24) (dual of [2097167, 2097018, 25]-code) | [i] | ✔ | |
| 18 | Linear OA(8151, 2097169, F8, 25) (dual of [2097169, 2097018, 26]-code) | [i] | ✔ | |
| 19 | Linear OA(8172, 2097176, F8, 28) (dual of [2097176, 2097004, 29]-code) | [i] | ✔ | |
| 20 | Linear OA(8152, 2097177, F8, 25) (dual of [2097177, 2097025, 26]-code) | [i] | ✔ | |
| 21 | Linear OA(8154, 2097186, F8, 25) (dual of [2097186, 2097032, 26]-code) | [i] | ✔ | |
| 22 | Linear OA(8152, 2097184, F8, 24) (dual of [2097184, 2097032, 25]-code) | [i] | ✔ | |
| 23 | Linear OA(8155, 2097194, F8, 25) (dual of [2097194, 2097039, 26]-code) | [i] | ✔ | |
| 24 | Linear OA(8159, 2097205, F8, 25) (dual of [2097205, 2097046, 26]-code) | [i] | ✔ | |
| 25 | Linear OA(8155, 2097201, F8, 24) (dual of [2097201, 2097046, 25]-code) | [i] | ✔ | |
| 26 | Linear OA(8161, 2097214, F8, 25) (dual of [2097214, 2097053, 26]-code) | [i] | ✔ | |
| 27 | Linear OA(8159, 2097212, F8, 24) (dual of [2097212, 2097053, 25]-code) | [i] | ✔ | |
| 28 | Linear OA(8166, 2097226, F8, 25) (dual of [2097226, 2097060, 26]-code) | [i] | ✔ | |
| 29 | Linear OA(8163, 2097217, F8, 24) (dual of [2097217, 2097054, 25]-code) | [i] | ✔ | |
| 30 | Linear OA(8164, 2097224, F8, 24) (dual of [2097224, 2097060, 25]-code) | [i] | ✔ | |
| 31 | Linear OA(8168, 2097235, F8, 25) (dual of [2097235, 2097067, 26]-code) | [i] | ✔ | |
| 32 | Linear OA(8166, 2097233, F8, 24) (dual of [2097233, 2097067, 25]-code) | [i] | ✔ | |
| 33 | Linear OA(8164, 2097219, F8, 25) (dual of [2097219, 2097055, 26]-code) | [i] | ✔ | |
| 34 | Linear OA(8165, 2097222, F8, 25) (dual of [2097222, 2097057, 26]-code) | [i] | ✔ | |
| 35 | Linear OA(8163, 2097219, F8, 24) (dual of [2097219, 2097056, 25]-code) | [i] | ✔ | |
| 36 | Linear OA(8158, 2097204, F8, 25) (dual of [2097204, 2097046, 26]-code) | [i] | ✔ | |
| 37 | Linear OA(8160, 2097213, F8, 25) (dual of [2097213, 2097053, 26]-code) | [i] | ✔ | |
| 38 | Linear OA(8171, 2097169, F8, 28) (dual of [2097169, 2096998, 29]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 39 | Linear OA(8165, 2097170, F8, 27) (dual of [2097170, 2097005, 28]-code) | [i] | ✔ | |
| 40 | Linear OA(8157, 2097162, F8, 26) (dual of [2097162, 2097005, 27]-code) | [i] | ✔ | |
| 41 | Linear OA(8150, 2097162, F8, 25) (dual of [2097162, 2097012, 26]-code) | [i] | ✔ | |
| 42 | Linear OA(8150, 2097169, F8, 24) (dual of [2097169, 2097019, 25]-code) | [i] | ✔ | |
| 43 | Linear OA(8153, 2097179, F8, 25) (dual of [2097179, 2097026, 26]-code) | [i] | ✔ | |
| 44 | Linear OOA(8148, 1048576, F8, 2, 25) (dual of [(1048576, 2), 2097004, 26]-NRT-code) | [i] | OOA Folding | |
| 45 | Linear OOA(8148, 699050, F8, 3, 25) (dual of [(699050, 3), 2097002, 26]-NRT-code) | [i] | ||
| 46 | Linear OOA(8148, 174762, F8, 25, 25) (dual of [(174762, 25), 4368902, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |