Information on Result #701053
Linear OA(441, 63, F4, 23) (dual of [63, 22, 24]-code), using the primitive cyclic code C(A) with length 63 = 43−1, defining set A = {0,1,2,3,5,6,7,9,10,11,13,14,15,21,47}, and minimum distance d ≥ |{−1,0,…,21}|+1 = 24 (BCH-bound)
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 Cyclic Codes (BCH-Bound) (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(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(444, 69, F4, 24) (dual of [69, 25, 25]-code) | [i] | ✔ | Construction XX with Cyclic Codes |