Information on Result #685818
Linear OA(734, 48, F7, 25) (dual of [48, 14, 26]-code), using contraction based on linear OA(782, 96, F7, 51) (dual of [96, 14, 52]-code), using the expurgated narrow-sense BCH-code C(I) with length 96 | 74−1, defining interval I = [0,49], and minimum distance d ≥ |{−1,0,…,49}|+1 = 52 (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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(781, 94, F7, 51) (dual of [94, 13, 52]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(780, 92, F7, 51) (dual of [92, 12, 52]-code) | [i] | ||
| 3 | Linear OA(779, 90, F7, 51) (dual of [90, 11, 52]-code) | [i] | ||
| 4 | Linear OA(778, 88, F7, 51) (dual of [88, 10, 52]-code) | [i] | ||
| 5 | Linear OA(736, 50, F7, 26) (dual of [50, 14, 27]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 6 | Linear OA(739, 53, F7, 27) (dual of [53, 14, 28]-code) | [i] | ✔ | |
| 7 | Linear OA(748, 62, F7, 32) (dual of [62, 14, 33]-code) | [i] | ✔ | |
| 8 | Linear OA(746, 59, F7, 31) (dual of [59, 13, 32]-code) | [i] | ✔ | |
| 9 | Linear OA(745, 59, F7, 30) (dual of [59, 14, 31]-code) | [i] | ✔ | |
| 10 | Linear OA(743, 56, F7, 29) (dual of [56, 13, 30]-code) | [i] | ✔ | |
| 11 | Linear OA(742, 56, F7, 28) (dual of [56, 14, 29]-code) | [i] | ✔ | |
| 12 | Linear OA(750, 64, F7, 33) (dual of [64, 14, 34]-code) | [i] | ✔ | |
| 13 | Linear OA(753, 67, F7, 34) (dual of [67, 14, 35]-code) | [i] | ✔ | |
| 14 | Linear OA(761, 75, F7, 38) (dual of [75, 14, 39]-code) | [i] | ✔ | |
| 15 | Linear OA(761, 76, F7, 38) (dual of [76, 15, 39]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 16 | Linear OA(753, 68, F7, 34) (dual of [68, 15, 35]-code) | [i] | ✔ | |
| 17 | Linear OA(750, 65, F7, 33) (dual of [65, 15, 34]-code) | [i] | ✔ | |
| 18 | Linear OA(748, 63, F7, 32) (dual of [63, 15, 33]-code) | [i] | ✔ | |
| 19 | Linear OA(745, 60, F7, 30) (dual of [60, 15, 31]-code) | [i] | ✔ | |
| 20 | Linear OA(742, 57, F7, 28) (dual of [57, 15, 29]-code) | [i] | ✔ | |
| 21 | Linear OA(739, 54, F7, 27) (dual of [54, 15, 28]-code) | [i] | ✔ | |
| 22 | Linear OA(736, 51, F7, 26) (dual of [51, 15, 27]-code) | [i] | ✔ | |
| 23 | Linear OA(747, 62, F7, 32) (dual of [62, 15, 33]-code) | [i] | ✔ | |
| 24 | Linear OA(763, 76, F7, 39) (dual of [76, 13, 40]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 25 | Linear OA(763, 78, F7, 38) (dual of [78, 15, 39]-code) | [i] | ✔ | |
| 26 | Linear OA(763, 77, F7, 39) (dual of [77, 14, 40]-code) | [i] | ✔ | |
| 27 | Linear OA(762, 75, F7, 39) (dual of [75, 13, 40]-code) | [i] | ✔ | |
| 28 | Linear OA(756, 69, F7, 35) (dual of [69, 13, 36]-code) | [i] | ✔ | |
| 29 | Linear OA(762, 77, F7, 38) (dual of [77, 15, 39]-code) | [i] | ✔ | |
| 30 | Linear OA(754, 69, F7, 34) (dual of [69, 15, 35]-code) | [i] | ✔ | |
| 31 | Linear OA(747, 60, F7, 32) (dual of [60, 13, 33]-code) | [i] | ✔ | |
| 32 | Linear OA(744, 57, F7, 30) (dual of [57, 13, 31]-code) | [i] | ✔ | |
| 33 | Linear OA(745, 60, F7, 29) (dual of [60, 15, 30]-code) | [i] | ✔ | |
| 34 | Linear OOA(734, 16, F7, 3, 25) (dual of [(16, 3), 14, 26]-NRT-code) | [i] | OOA Folding | |