Information on Result #614387
Linear OA(773, 117650, F7, 15) (dual of [117650, 117577, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 117650 | 712−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound)
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(772, 117649, F7, 14) (dual of [117649, 117577, 15]-code) | [i] | Truncation | |
| 2 | Linear OA(781, 117661, F7, 15) (dual of [117661, 117580, 16]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(782, 117669, F7, 15) (dual of [117669, 117587, 16]-code) | [i] | ||
| 4 | Linear OA(784, 117677, F7, 15) (dual of [117677, 117593, 16]-code) | [i] | ||
| 5 | Linear OA(780, 117658, F7, 15) (dual of [117658, 117578, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 6 | Linear OA(786, 117663, F7, 17) (dual of [117663, 117577, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(776, 117658, F7, 15) (dual of [117658, 117582, 16]-code) | [i] | ✔ | |
| 8 | Linear OA(777, 117666, F7, 15) (dual of [117666, 117589, 16]-code) | [i] | ✔ | |
| 9 | Linear OA(775, 117658, F7, 14) (dual of [117658, 117583, 15]-code) | [i] | ✔ | |
| 10 | Linear OA(7101, 117678, F7, 19) (dual of [117678, 117577, 20]-code) | [i] | ✔ | |
| 11 | Linear OA(780, 117681, F7, 15) (dual of [117681, 117601, 16]-code) | [i] | ✔ | |
| 12 | Linear OOA(773, 58825, F7, 2, 15) (dual of [(58825, 2), 117577, 16]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(773, 16807, F7, 15, 15) (dual of [(16807, 15), 252032, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |