Information on Result #681913
Linear OA(441, 63, F4, 23) (dual of [63, 22, 24]-code), using contraction based on linear OA(4167, 189, F4, 71) (dual of [189, 22, 72]-code), using the expurgated narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [0,68], and minimum distance d ≥ |{−2,−1,…,68}|+1 = 72 (BCH-bound) [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
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4104, 126, F4, 47) (dual of [126, 22, 48]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(4103, 124, F4, 47) (dual of [124, 21, 48]-code) | [i] | ||
| 3 | Linear OA(4102, 122, F4, 47) (dual of [122, 20, 48]-code) | [i] | ||
| 4 | Linear OA(4101, 120, F4, 47) (dual of [120, 19, 48]-code) | [i] | ||
| 5 | Linear OA(4100, 118, F4, 47) (dual of [118, 18, 48]-code) | [i] | ||
| 6 | Linear OA(499, 116, F4, 47) (dual of [116, 17, 48]-code) | [i] | ||
| 7 | Linear OA(498, 114, F4, 47) (dual of [114, 16, 48]-code) | [i] | ||
| 8 | Linear OA(497, 112, F4, 47) (dual of [112, 15, 48]-code) | [i] | ||
| 9 | Linear OA(496, 110, F4, 47) (dual of [110, 14, 48]-code) | [i] | ||
| 10 | Linear OA(2145, 189, F2, 47) (dual of [189, 44, 48]-code) | [i] | Concatenation of Two Codes | |
| 11 | Linear OA(2144, 186, F2, 47) (dual of [186, 42, 48]-code) | [i] | ||
| 12 | Linear OA(2143, 183, F2, 47) (dual of [183, 40, 48]-code) | [i] | ||
| 13 | Linear OA(2142, 180, F2, 47) (dual of [180, 38, 48]-code) | [i] | ||
| 14 | Linear OA(2141, 177, F2, 47) (dual of [177, 36, 48]-code) | [i] | ||
| 15 | Linear OA(2140, 174, F2, 47) (dual of [174, 34, 48]-code) | [i] | ||
| 16 | Linear OA(2139, 171, F2, 47) (dual of [171, 32, 48]-code) | [i] | ||
| 17 | Linear OA(2138, 168, F2, 47) (dual of [168, 30, 48]-code) | [i] | ||
| 18 | Linear OA(446, 68, F4, 26) (dual of [68, 22, 27]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 19 | Linear OA(441, 66, F4, 23) (dual of [66, 25, 24]-code) | [i] | ✔ | |
| 20 | Linear OA(451, 73, F4, 27) (dual of [73, 22, 28]-code) | [i] | ✔ | |
| 21 | Linear OA(442, 68, F4, 23) (dual of [68, 26, 24]-code) | [i] | ✔ | |
| 22 | Linear OA(458, 80, F4, 30) (dual of [80, 22, 31]-code) | [i] | ✔ | |
| 23 | Linear OA(444, 71, F4, 23) (dual of [71, 27, 24]-code) | [i] | ✔ | |
| 24 | Linear OA(458, 81, F4, 30) (dual of [81, 23, 31]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 25 | Linear OA(451, 74, F4, 27) (dual of [74, 23, 28]-code) | [i] | ✔ | |
| 26 | Linear OA(446, 69, F4, 26) (dual of [69, 23, 27]-code) | [i] | ✔ | |
| 27 | Linear OA(442, 69, F4, 23) (dual of [69, 27, 24]-code) | [i] | ✔ | |
| 28 | Linear OA(441, 67, F4, 23) (dual of [67, 26, 24]-code) | [i] | ✔ | |
| 29 | Linear OA(455, 76, F4, 28) (dual of [76, 21, 29]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 30 | Linear OA(457, 77, F4, 30) (dual of [77, 20, 31]-code) | [i] | ✔ | |
| 31 | Linear OA(454, 74, F4, 28) (dual of [74, 20, 29]-code) | [i] | ✔ | |
| 32 | Linear OA(450, 70, F4, 27) (dual of [70, 20, 28]-code) | [i] | ✔ | |
| 33 | Linear OA(452, 75, F4, 27) (dual of [75, 23, 28]-code) | [i] | ✔ | |
| 34 | Linear OA(446, 69, F4, 25) (dual of [69, 23, 26]-code) | [i] | ✔ | |
| 35 | Linear OA(443, 70, F4, 23) (dual of [70, 27, 24]-code) | [i] | ✔ | |