Information on Result #681950
Linear OA(456, 63, F4, 42) (dual of [63, 7, 43]-code), using contraction based on linear OA(4182, 189, F4, 128) (dual of [189, 7, 129]-code), using the narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [1,128], and designed minimum distance d ≥ |I|+1 = 129 [i]
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
- Contraction (with Expurgated Narrow-Sense BCH-Code) (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4119, 126, F4, 85) (dual of [126, 7, 86]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(4118, 124, F4, 85) (dual of [124, 6, 86]-code) | [i] | ||
| 3 | Linear OA(4117, 122, F4, 85) (dual of [122, 5, 86]-code) | [i] | ||
| 4 | Linear OA(4178, 183, F4, 128) (dual of [183, 5, 129]-code) | [i] | ||
| 5 | Linear OA(4130, 137, F4, 90) (dual of [137, 7, 91]-code) | [i] | Juxtaposition | |
| 6 | Linear OA(4135, 142, F4, 94) (dual of [142, 7, 95]-code) | [i] | ||
| 7 | Linear OA(4140, 147, F4, 98) (dual of [147, 7, 99]-code) | [i] | ||
| 8 | Linear OA(4165, 172, F4, 114) (dual of [172, 7, 115]-code) | [i] | ||
| 9 | Linear OA(4170, 177, F4, 118) (dual of [177, 7, 119]-code) | [i] | ||
| 10 | Linear OA(4175, 182, F4, 122) (dual of [182, 7, 123]-code) | [i] | ||
| 11 | Linear OA(4197, 204, F4, 136) (dual of [204, 7, 137]-code) | [i] | ||
| 12 | Linear OA(4198, 205, F4, 137) (dual of [205, 7, 138]-code) | [i] | ||
| 13 | Linear OA(4124, 130, F4, 89) (dual of [130, 6, 90]-code) | [i] | ||
| 14 | Linear OA(4141, 147, F4, 102) (dual of [147, 6, 103]-code) | [i] | ||
| 15 | Linear OA(4146, 152, F4, 106) (dual of [152, 6, 107]-code) | [i] | ||
| 16 | Linear OA(4123, 128, F4, 89) (dual of [128, 5, 90]-code) | [i] | ||
| 17 | Linear OA(4140, 145, F4, 102) (dual of [145, 5, 103]-code) | [i] | ||
| 18 | Linear OA(4145, 150, F4, 106) (dual of [150, 5, 107]-code) | [i] | ||
| 19 | Linear OA(4126, 133, F4, 90) (dual of [133, 7, 91]-code) | [i] | ||
| 20 | Linear OA(2175, 189, F2, 85) (dual of [189, 14, 86]-code) | [i] | Concatenation of Two Codes | |
| 21 | Linear OA(2174, 186, F2, 85) (dual of [186, 12, 86]-code) | [i] | ||
| 22 | Linear OA(2173, 183, F2, 85) (dual of [183, 10, 86]-code) | [i] | ||
| 23 | Linear OOA(2238, 126, F2, 2, 128) (dual of [(126, 2), 14, 129]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 24 | Linear OOA(2236, 124, F2, 2, 128) (dual of [(124, 2), 12, 129]-NRT-code) | [i] | ||
| 25 | Linear OOA(2234, 122, F2, 2, 128) (dual of [(122, 2), 10, 129]-NRT-code) | [i] | ||
| 26 | Linear OA(462, 69, F4, 46) (dual of [69, 7, 47]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 27 | Linear OA(488, 95, F4, 60) (dual of [95, 7, 61]-code) | [i] | ✔ | |
| 28 | Linear OA(483, 90, F4, 58) (dual of [90, 7, 59]-code) | [i] | ✔ | |
| 29 | Linear OA(468, 75, F4, 48) (dual of [75, 7, 49]-code) | [i] | ✔ | |
| 30 | Linear OA(463, 70, F4, 47) (dual of [70, 7, 48]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 31 | Linear OA(489, 96, F4, 62) (dual of [96, 7, 63]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 32 | Linear OA(461, 69, F4, 44) (dual of [69, 8, 45]-code) | [i] | ✔ | |
| 33 | Linear OA(488, 96, F4, 60) (dual of [96, 8, 61]-code) | [i] | ✔ | |
| 34 | Linear OA(484, 92, F4, 58) (dual of [92, 8, 59]-code) | [i] | ✔ | |
| 35 | Linear OOA(456, 21, F4, 3, 42) (dual of [(21, 3), 7, 43]-NRT-code) | [i] | OOA Folding | |