Information on Result #682040
Linear OA(457, 64, F4, 43) (dual of [64, 7, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43
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.
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(4121, 128, F4, 87) (dual of [128, 7, 88]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(4131, 138, F4, 91) (dual of [138, 7, 92]-code) | [i] | Juxtaposition | |
| 3 | Linear OA(4136, 143, F4, 95) (dual of [143, 7, 96]-code) | [i] | ||
| 4 | Linear OA(4141, 148, F4, 99) (dual of [148, 7, 100]-code) | [i] | ||
| 5 | Linear OA(4166, 173, F4, 115) (dual of [173, 7, 116]-code) | [i] | ||
| 6 | Linear OA(4171, 178, F4, 119) (dual of [178, 7, 120]-code) | [i] | ||
| 7 | Linear OA(4176, 183, F4, 123) (dual of [183, 7, 124]-code) | [i] | ||
| 8 | Linear OA(4194, 201, F4, 134) (dual of [201, 7, 135]-code) | [i] | ||
| 9 | Linear OA(4195, 202, F4, 135) (dual of [202, 7, 136]-code) | [i] | ||
| 10 | Linear OA(4199, 206, F4, 138) (dual of [206, 7, 139]-code) | [i] | ||
| 11 | Linear OA(4200, 207, F4, 139) (dual of [207, 7, 140]-code) | [i] | ||
| 12 | Linear OA(4127, 134, F4, 91) (dual of [134, 7, 92]-code) | [i] | ||
| 13 | Linear OA(2178, 192, F2, 87) (dual of [192, 14, 88]-code) | [i] | Concatenation of Two Codes | |
| 14 | Linear OOA(2242, 128, F2, 2, 131) (dual of [(128, 2), 14, 132]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 15 | Linear OA(484, 91, F4, 59) (dual of [91, 7, 60]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 16 | Linear OA(490, 97, F4, 63) (dual of [97, 7, 64]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 17 | Linear OA(462, 70, F4, 45) (dual of [70, 8, 46]-code) | [i] | ✔ | |
| 18 | Linear OA(489, 97, F4, 61) (dual of [97, 8, 62]-code) | [i] | ✔ | |
| 19 | Linear OA(485, 93, F4, 59) (dual of [93, 8, 60]-code) | [i] | ✔ | |
| 20 | Linear OOA(457, 32, F4, 2, 43) (dual of [(32, 2), 7, 44]-NRT-code) | [i] | OOA Folding | |