Information on Result #1008930
Linear OOA(8114, 5592402, F8, 3, 15) (dual of [(5592402, 3), 16777092, 16]-NRT-code), using trace code based on linear OOA(6457, 2796201, F64, 3, 15) (dual of [(2796201, 3), 8388546, 16]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6457, large, F64, 15) (dual of [large, large−57, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(8117, 5592403, F8, 3, 15) (dual of [(5592403, 3), 16777092, 16]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8120, 5592404, F8, 3, 15) (dual of [(5592404, 3), 16777092, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(8115, 5592402, F8, 3, 15) (dual of [(5592402, 3), 16777091, 16]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(8116, 5592402, F8, 3, 15) (dual of [(5592402, 3), 16777090, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(8121, 5592411, F8, 3, 15) (dual of [(5592411, 3), 16777112, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(8122, 5592416, F8, 3, 15) (dual of [(5592416, 3), 16777126, 16]-NRT-code) | [i] | ||
| 7 | Linear OOA(8123, 5592419, F8, 3, 15) (dual of [(5592419, 3), 16777134, 16]-NRT-code) | [i] | ||
| 8 | Linear OOA(8124, 5592426, F8, 3, 15) (dual of [(5592426, 3), 16777154, 16]-NRT-code) | [i] | ||
| 9 | Linear OOA(8125, 5592427, F8, 3, 15) (dual of [(5592427, 3), 16777156, 16]-NRT-code) | [i] | ||
| 10 | Linear OOA(8126, 5592430, F8, 3, 15) (dual of [(5592430, 3), 16777164, 16]-NRT-code) | [i] | ||
| 11 | Linear OOA(8127, 5592467, F8, 3, 15) (dual of [(5592467, 3), 16777274, 16]-NRT-code) | [i] | ||
| 12 | Linear OOA(8128, 5592532, F8, 3, 15) (dual of [(5592532, 3), 16777468, 16]-NRT-code) | [i] | ||
| 13 | Linear OOA(8130, 5592562, F8, 3, 15) (dual of [(5592562, 3), 16777556, 16]-NRT-code) | [i] | ||
| 14 | Linear OOA(8132, 5592597, F8, 3, 15) (dual of [(5592597, 3), 16777659, 16]-NRT-code) | [i] | ||
| 15 | Linear OOA(8133, 5592662, F8, 3, 15) (dual of [(5592662, 3), 16777853, 16]-NRT-code) | [i] | ||
| 16 | Linear OOA(8135, 5592722, F8, 3, 15) (dual of [(5592722, 3), 16778031, 16]-NRT-code) | [i] | ||
| 17 | Linear OOA(8137, 5592792, F8, 3, 15) (dual of [(5592792, 3), 16778239, 16]-NRT-code) | [i] | ||
| 18 | Linear OOA(8138, 5592870, F8, 3, 15) (dual of [(5592870, 3), 16778472, 16]-NRT-code) | [i] | ||
| 19 | Linear OOA(8139, 5593768, F8, 3, 15) (dual of [(5593768, 3), 16781165, 16]-NRT-code) | [i] | ||
| 20 | Linear OOA(8140, 5595134, F8, 3, 15) (dual of [(5595134, 3), 16785262, 16]-NRT-code) | [i] | ||
| 21 | Linear OOA(8142, 5595136, F8, 3, 15) (dual of [(5595136, 3), 16785266, 16]-NRT-code) | [i] | ||
| 22 | Linear OOA(8143, 5595143, F8, 3, 15) (dual of [(5595143, 3), 16785286, 16]-NRT-code) | [i] | ||
| 23 | Linear OOA(8144, 5595199, F8, 3, 15) (dual of [(5595199, 3), 16785453, 16]-NRT-code) | [i] | ||
| 24 | Linear OOA(8145, 5603326, F8, 3, 15) (dual of [(5603326, 3), 16809833, 16]-NRT-code) | [i] | ||
| 25 | Linear OOA(8146, 5603329, F8, 3, 15) (dual of [(5603329, 3), 16809841, 16]-NRT-code) | [i] | ||
| 26 | Linear OOA(8148, 5603335, F8, 3, 15) (dual of [(5603335, 3), 16809857, 16]-NRT-code) | [i] | ||
| 27 | Linear OOA(8149, 5603391, F8, 3, 15) (dual of [(5603391, 3), 16810024, 16]-NRT-code) | [i] | ||
| 28 | Linear OOA(8150, 5603534, F8, 3, 15) (dual of [(5603534, 3), 16810452, 16]-NRT-code) | [i] | ||
| 29 | Linear OOA(8151, 5679785, F8, 3, 15) (dual of [(5679785, 3), 17039204, 16]-NRT-code) | [i] | ||
| 30 | Linear OOA(8152, 5767166, F8, 3, 15) (dual of [(5767166, 3), 17301346, 16]-NRT-code) | [i] | ||
| 31 | Linear OOA(8153, 5767167, F8, 3, 15) (dual of [(5767167, 3), 17301348, 16]-NRT-code) | [i] | ||
| 32 | Linear OOA(8154, 5767170, F8, 3, 15) (dual of [(5767170, 3), 17301356, 16]-NRT-code) | [i] | ||
| 33 | Linear OOA(8155, 5767175, F8, 3, 15) (dual of [(5767175, 3), 17301370, 16]-NRT-code) | [i] | ||
| 34 | Linear OOA(8156, 5767231, F8, 3, 15) (dual of [(5767231, 3), 17301537, 16]-NRT-code) | [i] | ||
| 35 | Linear OOA(8157, 6291455, F8, 3, 15) (dual of [(6291455, 3), 18874208, 16]-NRT-code) | [i] | ||
| 36 | Linear OOA(8158, 6291458, F8, 3, 15) (dual of [(6291458, 3), 18874216, 16]-NRT-code) | [i] | ||
| 37 | Linear OOA(8160, 6291464, F8, 3, 15) (dual of [(6291464, 3), 18874232, 16]-NRT-code) | [i] | ||
| 38 | Linear OOA(8161, 6291520, F8, 3, 15) (dual of [(6291520, 3), 18874399, 16]-NRT-code) | [i] | ||
| 39 | Linear OOA(8162, 6291663, F8, 3, 15) (dual of [(6291663, 3), 18874827, 16]-NRT-code) | [i] | ||
| 40 | Linear OOA(8163, large, F8, 3, 15) | [i] | ||
| 41 | Linear OOA(8136, 5592735, F8, 3, 15) (dual of [(5592735, 3), 16778069, 16]-NRT-code) | [i] | ||
| 42 | Linear OOA(8137, 5592808, F8, 3, 15) (dual of [(5592808, 3), 16778287, 16]-NRT-code) | [i] | ||
| 43 | Linear OOA(8138, 5592922, F8, 3, 15) (dual of [(5592922, 3), 16778628, 16]-NRT-code) | [i] | ||
| 44 | OOA(8126, 5592435, S8, 3, 15) | [i] | ||
| 45 | OOA(8132, 5592660, S8, 3, 15) | [i] | ||
| 46 | OOA(8134, 5592916, S8, 3, 15) | [i] | ||
| 47 | OOA(8136, 5592918, S8, 3, 15) | [i] | ||
| 48 | OOA(8137, 5592925, S8, 3, 15) | [i] | ||
| 49 | OOA(8138, 5593173, S8, 3, 15) | [i] | ||
| 50 | OOA(8148, 5614248, S8, 3, 15) | [i] | ||
| 51 | OOA(8149, 5636094, S8, 3, 15) | [i] | ||
| 52 | OOA(8156, 5941929, S8, 3, 15) | [i] | ||
| 53 | OOA(8160, 6990505, S8, 3, 15) | [i] | ||
| 54 | OOA(8162, 6990509, S8, 3, 15) | [i] | ||