Information on Result #701350
Linear OA(713, 48, F7, 8) (dual of [48, 35, 9]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 9
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(798, 202, F7, 39) (dual of [202, 104, 40]-code) | [i] | Construction X with Cyclic Codes | |
| 2 | Linear OA(7104, 205, F7, 41) (dual of [205, 101, 42]-code) | [i] | ||
| 3 | Linear OA(725, 60, F7, 13) (dual of [60, 35, 14]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(7101, 205, F7, 40) (dual of [205, 104, 41]-code) | [i] | ||
| 5 | Linear OA(7105, 209, F7, 41) (dual of [209, 104, 42]-code) | [i] | ||
| 6 | Linear OA(7107, 208, F7, 42) (dual of [208, 101, 43]-code) | [i] | ||
| 7 | Linear OA(7110, 205, F7, 44) (dual of [205, 95, 45]-code) | [i] | ||
| 8 | Linear OA(771, 379, F7, 23) (dual of [379, 308, 24]-code) | [i] | ||
| 9 | Linear OA(776, 384, F7, 24) (dual of [384, 308, 25]-code) | [i] | ||
| 10 | Linear OA(775, 383, F7, 24) (dual of [383, 308, 25]-code) | [i] | ||
| 11 | Linear OA(780, 388, F7, 25) (dual of [388, 308, 26]-code) | [i] | ||
| 12 | Linear OA(788, 384, F7, 29) (dual of [384, 296, 30]-code) | [i] | ||
| 13 | Linear OA(793, 389, F7, 30) (dual of [389, 296, 31]-code) | [i] | ||
| 14 | Linear OA(791, 384, F7, 30) (dual of [384, 293, 31]-code) | [i] | ||
| 15 | Linear OA(789, 379, F7, 30) (dual of [379, 290, 31]-code) | [i] | ||
| 16 | Linear OA(796, 389, F7, 31) (dual of [389, 293, 32]-code) | [i] | ||
| 17 | Linear OA(794, 384, F7, 31) (dual of [384, 290, 32]-code) | [i] | ||
| 18 | Linear OA(793, 383, F7, 31) (dual of [383, 290, 32]-code) | [i] | ||
| 19 | Linear OA(7101, 394, F7, 32) (dual of [394, 293, 33]-code) | [i] | ||
| 20 | Linear OA(799, 389, F7, 32) (dual of [389, 290, 33]-code) | [i] | ||
| 21 | Linear OA(799, 390, F7, 32) (dual of [390, 291, 33]-code) | [i] | ||
| 22 | Linear OA(798, 388, F7, 32) (dual of [388, 290, 33]-code) | [i] | ||
| 23 | Linear OA(7104, 394, F7, 33) (dual of [394, 290, 34]-code) | [i] | ||
| 24 | Linear OA(7104, 395, F7, 33) (dual of [395, 291, 34]-code) | [i] | ||
| 25 | Linear OA(7102, 392, F7, 33) (dual of [392, 290, 34]-code) | [i] | ||
| 26 | Linear OA(7108, 398, F7, 34) (dual of [398, 290, 35]-code) | [i] | ||
| 27 | Linear OA(7105, 392, F7, 34) (dual of [392, 287, 35]-code) | [i] | ||
| 28 | Linear OA(7108, 399, F7, 34) (dual of [399, 291, 35]-code) | [i] | ||
| 29 | Linear OA(7107, 397, F7, 34) (dual of [397, 290, 35]-code) | [i] | ||
| 30 | Linear OA(7108, 392, F7, 35) (dual of [392, 284, 36]-code) | [i] | ||
| 31 | Linear OA(7110, 397, F7, 35) (dual of [397, 287, 36]-code) | [i] | ||
| 32 | Linear OA(7110, 394, F7, 36) (dual of [394, 284, 37]-code) | [i] | ||
| 33 | Linear OA(7108, 389, F7, 36) (dual of [389, 281, 37]-code) | [i] | ||
| 34 | Linear OA(7106, 384, F7, 36) (dual of [384, 278, 37]-code) | [i] | ||
| 35 | Linear OA(7109, 384, F7, 37) (dual of [384, 275, 38]-code) | [i] | ||
| 36 | Linear OA(7107, 379, F7, 37) (dual of [379, 272, 38]-code) | [i] | ||
| 37 | Linear OA(7104, 16855, F7, 22) (dual of [16855, 16751, 23]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 38 | Linear OA(7110, 2442, F7, 29) (dual of [2442, 2332, 30]-code) | [i] | ||
| 39 | Linear OA(7104, 377, F7, 36) (dual of [377, 273, 37]-code) | [i] | ||
| 40 | Linear OA(786, 377, F7, 29) (dual of [377, 291, 30]-code) | [i] | ||
| 41 | Linear OA(768, 377, F7, 22) (dual of [377, 309, 23]-code) | [i] | ||
| 42 | Linear OA(7110, 380, F7, 38) (dual of [380, 270, 39]-code) | [i] | ||
| 43 | Linear OA(7101, 380, F7, 34) (dual of [380, 279, 35]-code) | [i] | ||
| 44 | Linear OA(798, 380, F7, 33) (dual of [380, 282, 34]-code) | [i] | ||
| 45 | Linear OA(795, 380, F7, 32) (dual of [380, 285, 33]-code) | [i] | ||
| 46 | Linear OA(792, 380, F7, 31) (dual of [380, 288, 32]-code) | [i] | ||
| 47 | Linear OA(783, 380, F7, 27) (dual of [380, 297, 28]-code) | [i] | ||
| 48 | Linear OA(780, 380, F7, 26) (dual of [380, 300, 27]-code) | [i] | ||
| 49 | Linear OA(777, 380, F7, 25) (dual of [380, 303, 26]-code) | [i] | ||
| 50 | Linear OA(774, 380, F7, 24) (dual of [380, 306, 25]-code) | [i] | ||
| 51 | Linear OA(7107, 203, F7, 43) (dual of [203, 96, 44]-code) | [i] | ||
| 52 | Linear OA(7101, 203, F7, 40) (dual of [203, 102, 41]-code) | [i] | ||
| 53 | Linear OOA(713, 24, F7, 2, 8) (dual of [(24, 2), 35, 9]-NRT-code) | [i] | OOA Folding | |
| 54 | Linear OOA(713, 16, F7, 3, 8) (dual of [(16, 3), 35, 9]-NRT-code) | [i] | ||