Information on Result #701038
Linear OA(438, 63, F4, 22) (dual of [63, 25, 23]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23
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
- Contraction (with Expurgated Narrow-Sense BCH-Code) (hidden) [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(4101, 126, F4, 45) (dual of [126, 25, 46]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(4100, 124, F4, 45) (dual of [124, 24, 46]-code) | [i] | ||
| 3 | Linear OA(499, 122, F4, 45) (dual of [122, 23, 46]-code) | [i] | ||
| 4 | Linear OA(498, 120, F4, 45) (dual of [120, 22, 46]-code) | [i] | ||
| 5 | Linear OA(497, 118, F4, 45) (dual of [118, 21, 46]-code) | [i] | ||
| 6 | Linear OA(496, 116, F4, 45) (dual of [116, 20, 46]-code) | [i] | ||
| 7 | Linear OA(495, 114, F4, 45) (dual of [114, 19, 46]-code) | [i] | ||
| 8 | Linear OA(494, 112, F4, 45) (dual of [112, 18, 46]-code) | [i] | ||
| 9 | Linear OA(4150, 168, F4, 68) (dual of [168, 18, 69]-code) | [i] | ||
| 10 | Linear OA(493, 110, F4, 45) (dual of [110, 17, 46]-code) | [i] | ||
| 11 | Linear OA(4148, 165, F4, 68) (dual of [165, 17, 69]-code) | [i] | ||
| 12 | Linear OA(492, 108, F4, 45) (dual of [108, 16, 46]-code) | [i] | ||
| 13 | Linear OA(491, 106, F4, 45) (dual of [106, 15, 46]-code) | [i] | ||
| 14 | Linear OA(490, 104, F4, 45) (dual of [104, 14, 46]-code) | [i] | ||
| 15 | Linear OA(4136, 147, F4, 68) (dual of [147, 11, 69]-code) | [i] | ||
| 16 | Linear OA(2139, 189, F2, 45) (dual of [189, 50, 46]-code) | [i] | Concatenation of Two Codes | |
| 17 | Linear OA(2138, 186, F2, 45) (dual of [186, 48, 46]-code) | [i] | ||
| 18 | Linear OA(2137, 183, F2, 45) (dual of [183, 46, 46]-code) | [i] | ||
| 19 | Linear OA(2136, 180, F2, 45) (dual of [180, 44, 46]-code) | [i] | ||
| 20 | Linear OA(2135, 177, F2, 45) (dual of [177, 42, 46]-code) | [i] | ||
| 21 | Linear OA(2134, 174, F2, 45) (dual of [174, 40, 46]-code) | [i] | ||
| 22 | Linear OA(2133, 171, F2, 45) (dual of [171, 38, 46]-code) | [i] | ||
| 23 | Linear OA(2127, 153, F2, 45) (dual of [153, 26, 46]-code) | [i] | ||
| 24 | Linear OA(450, 82, F4, 23) (dual of [82, 32, 24]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 25 | Linear OA(449, 78, F4, 23) (dual of [78, 29, 24]-code) | [i] | ✔ | |
| 26 | Linear OA(454, 86, F4, 24) (dual of [86, 32, 25]-code) | [i] | ✔ | |
| 27 | Linear OA(453, 82, F4, 24) (dual of [82, 29, 25]-code) | [i] | ✔ | |
| 28 | Linear OA(444, 69, F4, 24) (dual of [69, 25, 25]-code) | [i] | ✔ | |
| 29 | Linear OA(451, 76, F4, 27) (dual of [76, 25, 28]-code) | [i] | ✔ | |
| 30 | Linear OA(450, 72, F4, 27) (dual of [72, 22, 28]-code) | [i] | ✔ | |
| 31 | Linear OA(456, 81, F4, 28) (dual of [81, 25, 29]-code) | [i] | ✔ | |
| 32 | Linear OA(458, 83, F4, 30) (dual of [83, 25, 31]-code) | [i] | ✔ | |
| 33 | Linear OA(455, 80, F4, 28) (dual of [80, 25, 29]-code) | [i] | ✔ | |
| 34 | Linear OA(454, 76, F4, 28) (dual of [76, 22, 29]-code) | [i] | ✔ | |
| 35 | Linear OA(463, 101, F4, 26) (dual of [101, 38, 27]-code) | [i] | ✔ | |
| 36 | Linear OOA(438, 21, F4, 3, 22) (dual of [(21, 3), 25, 23]-NRT-code) | [i] | OOA Folding | |