Information on Result #685867
Linear OA(739, 48, F7, 31) (dual of [48, 9, 32]-code), using contraction based on linear OA(787, 96, F7, 63) (dual of [96, 9, 64]-code), using the narrow-sense BCH-code C(I) with length 96 | 74−1, defining interval I = [1,63], and designed minimum distance d ≥ |I|+1 = 64 [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 Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(739, 48, F7, 30) (dual of [48, 9, 31]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(739, 48, F7, 29) (dual of [48, 9, 30]-code) | [i] | ||
| 3 | Linear OA(739, 48, F7, 28) (dual of [48, 9, 29]-code) | [i] | ||
| 4 | Linear OA(784, 90, F7, 63) (dual of [90, 6, 64]-code) | [i] | Repeating Each Code Word | |
| 5 | Linear OA(783, 88, F7, 63) (dual of [88, 5, 64]-code) | [i] | ||
| 6 | Linear OA(796, 103, F7, 72) (dual of [103, 7, 73]-code) | [i] | Juxtaposition | |
| 7 | Linear OA(743, 54, F7, 31) (dual of [54, 11, 32]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 8 | Linear OA(745, 58, F7, 31) (dual of [58, 13, 32]-code) | [i] | ✔ | |
| 9 | Linear OA(743, 56, F7, 30) (dual of [56, 13, 31]-code) | [i] | ✔ | |
| 10 | Linear OA(753, 62, F7, 39) (dual of [62, 9, 40]-code) | [i] | ✔ | |
| 11 | Linear OA(750, 59, F7, 37) (dual of [59, 9, 38]-code) | [i] | ✔ | |
| 12 | Linear OA(747, 56, F7, 35) (dual of [56, 9, 36]-code) | [i] | ✔ | |
| 13 | Linear OA(747, 62, F7, 31) (dual of [62, 15, 32]-code) | [i] | ✔ | |
| 14 | Linear OA(744, 59, F7, 29) (dual of [59, 15, 30]-code) | [i] | ✔ | |
| 15 | Linear OA(755, 64, F7, 40) (dual of [64, 9, 41]-code) | [i] | ✔ | |
| 16 | Linear OA(748, 64, F7, 31) (dual of [64, 16, 32]-code) | [i] | ✔ | |
| 17 | Linear OA(743, 59, F7, 27) (dual of [59, 16, 28]-code) | [i] | ✔ | |
| 18 | Linear OA(763, 72, F7, 44) (dual of [72, 9, 45]-code) | [i] | ✔ | |
| 19 | Linear OA(745, 54, F7, 34) (dual of [54, 9, 35]-code) | [i] | ✔ | |
| 20 | Linear OA(746, 61, F7, 31) (dual of [61, 15, 32]-code) | [i] | ✔ | |
| 21 | Linear OA(746, 62, F7, 30) (dual of [62, 16, 31]-code) | [i] | ✔ | |
| 22 | Linear OA(756, 65, F7, 41) (dual of [65, 9, 42]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 23 | Linear OA(754, 63, F7, 40) (dual of [63, 9, 41]-code) | [i] | ✔ | |
| 24 | Linear OA(744, 53, F7, 34) (dual of [53, 9, 35]-code) | [i] | ✔ | |
| 25 | Linear OA(749, 65, F7, 32) (dual of [65, 16, 33]-code) | [i] | ✔ | |
| 26 | Linear OA(748, 63, F7, 32) (dual of [63, 15, 33]-code) | [i] | ✔ | |
| 27 | Linear OA(745, 60, F7, 30) (dual of [60, 15, 31]-code) | [i] | ✔ | |
| 28 | Linear OA(742, 57, F7, 28) (dual of [57, 15, 29]-code) | [i] | ✔ | |
| 29 | Linear OA(746, 59, F7, 32) (dual of [59, 13, 33]-code) | [i] | ✔ | |
| 30 | Linear OA(744, 57, F7, 31) (dual of [57, 13, 32]-code) | [i] | ✔ | |
| 31 | Linear OA(745, 57, F7, 32) (dual of [57, 12, 33]-code) | [i] | ✔ | |
| 32 | Linear OA(744, 55, F7, 32) (dual of [55, 11, 33]-code) | [i] | ✔ | |
| 33 | Linear OA(747, 62, F7, 32) (dual of [62, 15, 33]-code) | [i] | ✔ | |
| 34 | Linear OA(769, 78, F7, 47) (dual of [78, 9, 48]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 35 | Linear OA(764, 73, F7, 45) (dual of [73, 9, 46]-code) | [i] | ✔ | |
| 36 | Linear OA(758, 67, F7, 41) (dual of [67, 9, 42]-code) | [i] | ✔ | |
| 37 | Linear OA(761, 72, F7, 40) (dual of [72, 11, 41]-code) | [i] | ✔ | |
| 38 | Linear OA(751, 60, F7, 38) (dual of [60, 9, 39]-code) | [i] | ✔ | |
| 39 | Linear OA(748, 57, F7, 36) (dual of [57, 9, 37]-code) | [i] | ✔ | |
| 40 | Linear OA(759, 70, F7, 39) (dual of [70, 11, 40]-code) | [i] | ✔ | |
| 41 | Linear OA(758, 68, F7, 39) (dual of [68, 10, 40]-code) | [i] | ✔ | |
| 42 | Linear OA(754, 64, F7, 36) (dual of [64, 10, 37]-code) | [i] | ✔ | |
| 43 | Linear OA(746, 60, F7, 31) (dual of [60, 14, 32]-code) | [i] | ✔ | |
| 44 | Linear OA(743, 57, F7, 29) (dual of [57, 14, 30]-code) | [i] | ✔ | |
| 45 | Linear OA(744, 60, F7, 28) (dual of [60, 16, 29]-code) | [i] | ✔ | |
| 46 | Linear OA(757, 66, F7, 41) (dual of [66, 9, 42]-code) | [i] | ✔ | |
| 47 | Linear OA(751, 62, F7, 34) (dual of [62, 11, 35]-code) | [i] | ✔ | |
| 48 | Linear OA(747, 63, F7, 31) (dual of [63, 16, 32]-code) | [i] | ✔ | |
| 49 | Linear OOA(739, 24, F7, 2, 31) (dual of [(24, 2), 9, 32]-NRT-code) | [i] | OOA Folding | |
| 50 | Linear OOA(739, 16, F7, 3, 31) (dual of [(16, 3), 9, 32]-NRT-code) | [i] | ||