Information on Result #681963
Linear OA(455, 63, F4, 41) (dual of [63, 8, 42]-code), using contraction based on linear OA(4181, 189, F4, 125) (dual of [189, 8, 126]-code), using the narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [1,125], and designed minimum distance d ≥ |I|+1 = 126 [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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4118, 126, F4, 83) (dual of [126, 8, 84]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(4117, 124, F4, 83) (dual of [124, 7, 84]-code) | [i] | ||
| 3 | Linear OA(4116, 122, F4, 83) (dual of [122, 6, 84]-code) | [i] | ||
| 4 | Linear OA(4115, 120, F4, 83) (dual of [120, 5, 84]-code) | [i] | ||
| 5 | Linear OA(4175, 180, F4, 125) (dual of [180, 5, 126]-code) | [i] | ||
| 6 | Linear OA(4220, 228, F4, 153) (dual of [228, 8, 154]-code) | [i] | Juxtaposition | |
| 7 | Linear OA(4134, 141, F4, 93) (dual of [141, 7, 94]-code) | [i] | ||
| 8 | Linear OA(4139, 146, F4, 97) (dual of [146, 7, 98]-code) | [i] | ||
| 9 | Linear OA(4164, 171, F4, 113) (dual of [171, 7, 114]-code) | [i] | ||
| 10 | Linear OA(4169, 176, F4, 117) (dual of [176, 7, 118]-code) | [i] | ||
| 11 | Linear OA(4174, 181, F4, 121) (dual of [181, 7, 122]-code) | [i] | ||
| 12 | Linear OA(4123, 129, F4, 88) (dual of [129, 6, 89]-code) | [i] | ||
| 13 | Linear OA(4140, 146, F4, 101) (dual of [146, 6, 102]-code) | [i] | ||
| 14 | Linear OA(4145, 151, F4, 105) (dual of [151, 6, 106]-code) | [i] | ||
| 15 | Linear OA(4122, 127, F4, 88) (dual of [127, 5, 89]-code) | [i] | ||
| 16 | Linear OA(4139, 144, F4, 101) (dual of [144, 5, 102]-code) | [i] | ||
| 17 | Linear OA(4144, 149, F4, 105) (dual of [149, 5, 106]-code) | [i] | ||
| 18 | Linear OA(4128, 136, F4, 89) (dual of [136, 8, 90]-code) | [i] | ||
| 19 | Linear OA(4125, 132, F4, 89) (dual of [132, 7, 90]-code) | [i] | ||
| 20 | Linear OA(2173, 189, F2, 83) (dual of [189, 16, 84]-code) | [i] | Concatenation of Two Codes | |
| 21 | Linear OA(2172, 186, F2, 83) (dual of [186, 14, 84]-code) | [i] | ||
| 22 | Linear OA(2171, 183, F2, 83) (dual of [183, 12, 84]-code) | [i] | ||
| 23 | Linear OA(2170, 180, F2, 83) (dual of [180, 10, 84]-code) | [i] | ||
| 24 | Linear OOA(2236, 126, F2, 2, 125) (dual of [(126, 2), 16, 126]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 25 | Linear OOA(2234, 124, F2, 2, 125) (dual of [(124, 2), 14, 126]-NRT-code) | [i] | ||
| 26 | Linear OOA(2232, 122, F2, 2, 125) (dual of [(122, 2), 12, 126]-NRT-code) | [i] | ||
| 27 | Linear OOA(2230, 120, F2, 2, 125) (dual of [(120, 2), 10, 126]-NRT-code) | [i] | ||
| 28 | Linear OA(4180, 189, F4, 125) (dual of [189, 9, 126]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 29 | Linear OA(464, 72, F4, 46) (dual of [72, 8, 47]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 30 | Linear OA(466, 74, F4, 47) (dual of [74, 8, 48]-code) | [i] | ✔ | |
| 31 | Linear OA(483, 91, F4, 57) (dual of [91, 8, 58]-code) | [i] | ✔ | |
| 32 | Linear OA(465, 73, F4, 47) (dual of [73, 8, 48]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 33 | Linear OA(471, 91, F4, 38) (dual of [91, 20, 39]-code) | [i] | ✔ | |
| 34 | Linear OA(471, 88, F4, 39) (dual of [88, 17, 40]-code) | [i] | ✔ | |
| 35 | Linear OA(464, 81, F4, 34) (dual of [81, 17, 35]-code) | [i] | ✔ | |
| 36 | Linear OA(462, 76, F4, 36) (dual of [76, 14, 37]-code) | [i] | ✔ | |
| 37 | Linear OA(465, 82, F4, 35) (dual of [82, 17, 36]-code) | [i] | ✔ | |
| 38 | Linear OA(461, 69, F4, 44) (dual of [69, 8, 45]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 39 | Linear OA(488, 96, F4, 60) (dual of [96, 8, 61]-code) | [i] | ✔ | |
| 40 | Linear OA(484, 92, F4, 58) (dual of [92, 8, 59]-code) | [i] | ✔ | |
| 41 | Linear OOA(455, 31, F4, 2, 41) (dual of [(31, 2), 7, 42]-NRT-code) | [i] | OOA Folding | |
| 42 | Linear OOA(455, 21, F4, 3, 41) (dual of [(21, 3), 8, 42]-NRT-code) | [i] | ||