Information on Result #614161
Linear OA(598, 125, F5, 62) (dual of [125, 27, 63]-code), using an extension Ce(61) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,61], and designed minimum distance d ≥ |I|+1 = 62
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(598, 125, F5, 61) (dual of [125, 27, 62]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(598, 125, F5, 60) (dual of [125, 27, 61]-code) | [i] | ||
| 3 | Linear OA(598, 125, F5, 59) (dual of [125, 27, 60]-code) | [i] | ||
| 4 | Linear OA(598, 125, F5, 58) (dual of [125, 27, 59]-code) | [i] | ||
| 5 | Linear OA(598, 125, F5, 57) (dual of [125, 27, 58]-code) | [i] | ||
| 6 | Linear OA(598, 125, F5, 56) (dual of [125, 27, 57]-code) | [i] | ||
| 7 | Linear OA(598, 125, F5, 55) (dual of [125, 27, 56]-code) | [i] | ||
| 8 | Linear OA(598, 125, F5, 54) (dual of [125, 27, 55]-code) | [i] | ||
| 9 | Linear OA(598, 125, F5, 53) (dual of [125, 27, 54]-code) | [i] | ||
| 10 | Linear OA(598, 125, F5, 52) (dual of [125, 27, 53]-code) | [i] | ||
| 11 | Linear OA(5100, 127, F5, 62) (dual of [127, 27, 63]-code) | [i] | Code Embedding in Larger Space | |
| 12 | Linear OA(5110, 141, F5, 62) (dual of [141, 31, 63]-code) | [i] | Varšamov–Edel Lengthening | |
| 13 | Linear OA(5111, 143, F5, 62) (dual of [143, 32, 63]-code) | [i] | ||
| 14 | Linear OA(5110, 138, F5, 62) (dual of [138, 28, 63]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 15 | Linear OA(5112, 141, F5, 62) (dual of [141, 29, 63]-code) | [i] | ✔ | |
| 16 | Linear OA(5113, 143, F5, 62) (dual of [143, 30, 63]-code) | [i] | ✔ | |
| 17 | Linear OA(5111, 141, F5, 61) (dual of [141, 30, 62]-code) | [i] | ✔ | |
| 18 | Linear OA(5108, 137, F5, 59) (dual of [137, 29, 60]-code) | [i] | ✔ | |
| 19 | Linear OA(5106, 136, F5, 57) (dual of [136, 30, 58]-code) | [i] | ✔ | |
| 20 | Linear OA(5102, 131, F5, 54) (dual of [131, 29, 55]-code) | [i] | ✔ | |
| 21 | Linear OA(5101, 131, F5, 53) (dual of [131, 30, 54]-code) | [i] | ✔ | |
| 22 | Linear OA(5103, 130, F5, 64) (dual of [130, 27, 65]-code) | [i] | ✔ | |
| 23 | Linear OA(599, 132, F5, 50) (dual of [132, 33, 51]-code) | [i] | ✔ | |
| 24 | Linear OA(5114, 145, F5, 62) (dual of [145, 31, 63]-code) | [i] | ✔ | |
| 25 | Linear OA(5115, 148, F5, 62) (dual of [148, 33, 63]-code) | [i] | ✔ | |
| 26 | Linear OA(5107, 139, F5, 56) (dual of [139, 32, 57]-code) | [i] | ✔ | |
| 27 | Linear OA(5108, 141, F5, 56) (dual of [141, 33, 57]-code) | [i] | ✔ | |
| 28 | Linear OA(5104, 137, F5, 54) (dual of [137, 33, 55]-code) | [i] | ✔ | |
| 29 | Linear OA(5112, 139, F5, 68) (dual of [139, 27, 69]-code) | [i] | ✔ | |
| 30 | Linear OA(5109, 136, F5, 66) (dual of [136, 27, 67]-code) | [i] | ✔ | |
| 31 | Linear OA(5115, 151, F5, 61) (dual of [151, 36, 62]-code) | [i] | ✔ | |
| 32 | Linear OA(5117, 144, F5, 69) (dual of [144, 27, 70]-code) | [i] | ✔ | |
| 33 | Linear OA(5134, 161, F5, 74) (dual of [161, 27, 75]-code) | [i] | ✔ | |
| 34 | Linear OA(5108, 140, F5, 57) (dual of [140, 32, 58]-code) | [i] | ✔ | |
| 35 | Linear OA(5109, 142, F5, 57) (dual of [142, 33, 58]-code) | [i] | ✔ | |
| 36 | Linear OA(5106, 137, F5, 56) (dual of [137, 31, 57]-code) | [i] | ✔ | |
| 37 | Linear OA(5107, 140, F5, 56) (dual of [140, 33, 57]-code) | [i] | ✔ | |
| 38 | Linear OA(5109, 145, F5, 56) (dual of [145, 36, 57]-code) | [i] | ✔ | |
| 39 | Linear OA(5106, 142, F5, 54) (dual of [142, 36, 55]-code) | [i] | ✔ | |
| 40 | Linear OA(5116, 143, F5, 69) (dual of [143, 27, 70]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 41 | Linear OA(5110, 137, F5, 67) (dual of [137, 27, 68]-code) | [i] | ✔ | |
| 42 | Linear OA(5116, 144, F5, 64) (dual of [144, 28, 65]-code) | [i] | ✔ | |
| 43 | Linear OA(5114, 143, F5, 63) (dual of [143, 29, 64]-code) | [i] | ✔ | |
| 44 | Linear OA(5112, 140, F5, 63) (dual of [140, 28, 64]-code) | [i] | ✔ | |
| 45 | Linear OA(5108, 139, F5, 57) (dual of [139, 31, 58]-code) | [i] | ✔ | |
| 46 | Linear OA(5105, 136, F5, 55) (dual of [136, 31, 56]-code) | [i] | ✔ | |
| 47 | Linear OA(5101, 132, F5, 52) (dual of [132, 31, 53]-code) | [i] | ✔ | |
| 48 | Linear OA(5118, 154, F5, 62) (dual of [154, 36, 63]-code) | [i] | ✔ | |
| 49 | Linear OA(5117, 152, F5, 62) (dual of [152, 35, 63]-code) | [i] | ✔ | |
| 50 | Linear OA(5116, 150, F5, 62) (dual of [150, 34, 63]-code) | [i] | ✔ | |
| 51 | Linear OA(5111, 138, F5, 68) (dual of [138, 27, 69]-code) | [i] | ✔ | |
| 52 | Linear OA(5110, 142, F5, 58) (dual of [142, 32, 59]-code) | [i] | ✔ | |
| 53 | Linear OA(5109, 140, F5, 58) (dual of [140, 31, 59]-code) | [i] | ✔ | |
| 54 | Linear OA(5107, 138, F5, 57) (dual of [138, 31, 58]-code) | [i] | ✔ | |
| 55 | Linear OA(5106, 134, F5, 62) (dual of [134, 28, 63]-code) | [i] | Construction X with Varšamov Bound | |
| 56 | Linear OA(5108, 137, F5, 62) (dual of [137, 29, 63]-code) | [i] | ||
| 57 | Linear OA(5109, 139, F5, 62) (dual of [139, 30, 63]-code) | [i] | ||