Information on Result #614977
Linear OA(8137, large, F8, 20) (dual of [large, large−137, 21]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, 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 OA(8137, large, F8, 19) (dual of [large, large−137, 20]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8137, large, F8, 18) (dual of [large, large−137, 19]-code) | [i] | ||
| 3 | Linear OA(8137, large, F8, 17) (dual of [large, large−137, 18]-code) | [i] | ||
| 4 | Linear OA(8137, large, F8, 16) (dual of [large, large−137, 17]-code) | [i] | ||
| 5 | Linear OA(8137, large, F8, 15) (dual of [large, large−137, 16]-code) | [i] | ||
| 6 | Linear OA(8137, large, F8, 14) (dual of [large, large−137, 15]-code) | [i] | ||
| 7 | Linear OA(8137, large, F8, 13) (dual of [large, large−137, 14]-code) | [i] | ||
| 8 | Linear OA(8137, large, F8, 12) (dual of [large, large−137, 13]-code) | [i] | ||
| 9 | Linear OA(8137, large, F8, 11) (dual of [large, large−137, 12]-code) | [i] | ||
| 10 | Linear OA(8137, large, F8, 10) (dual of [large, large−137, 11]-code) | [i] | ||
| 11 | Linear OA(8137, large, F8, 9) (dual of [large, large−137, 10]-code) | [i] | ||
| 12 | Linear OA(8137, large, F8, 8) (dual of [large, large−137, 9]-code) | [i] | ||
| 13 | Linear OA(8137, large, F8, 7) (dual of [large, large−137, 8]-code) | [i] | ||
| 14 | Linear OA(8137, large, F8, 6) (dual of [large, large−137, 7]-code) | [i] | ||
| 15 | Linear OA(8137, large, F8, 5) (dual of [large, large−137, 6]-code) | [i] | ||
| 16 | Linear OA(8137, large, F8, 4) (dual of [large, large−137, 5]-code) | [i] | ||
| 17 | Linear OA(8137, large, F8, 3) (dual of [large, large−137, 4]-code) | [i] | ||
| 18 | Linear OA(8138, large, F8, 20) (dual of [large, large−138, 21]-code) | [i] | Code Embedding in Larger Space | |
| 19 | Linear OA(8139, large, F8, 20) (dual of [large, large−139, 21]-code) | [i] | ||
| 20 | Linear OA(8140, large, F8, 20) (dual of [large, large−140, 21]-code) | [i] | ||
| 21 | Linear OA(8141, large, F8, 20) (dual of [large, large−141, 21]-code) | [i] | ||
| 22 | Linear OA(8142, large, F8, 20) (dual of [large, large−142, 21]-code) | [i] | ||
| 23 | Linear OA(8143, large, F8, 20) (dual of [large, large−143, 21]-code) | [i] | ||
| 24 | Linear OA(8144, large, F8, 20) (dual of [large, large−144, 21]-code) | [i] | ||
| 25 | Linear OA(8146, large, F8, 20) (dual of [large, large−146, 21]-code) | [i] | ||
| 26 | Linear OA(8147, large, F8, 20) (dual of [large, large−147, 21]-code) | [i] | ||
| 27 | Linear OA(8148, large, F8, 20) (dual of [large, large−148, 21]-code) | [i] | ||
| 28 | Linear OA(8149, large, F8, 20) (dual of [large, large−149, 21]-code) | [i] | ||
| 29 | Linear OA(8150, large, F8, 20) (dual of [large, large−150, 21]-code) | [i] | ||
| 30 | Linear OA(8151, large, F8, 20) (dual of [large, large−151, 21]-code) | [i] | ||
| 31 | Linear OA(8152, large, F8, 20) (dual of [large, large−152, 21]-code) | [i] | ||
| 32 | Linear OA(8154, large, F8, 20) (dual of [large, large−154, 21]-code) | [i] | ||
| 33 | Linear OA(8155, large, F8, 20) (dual of [large, large−155, 21]-code) | [i] | ||
| 34 | Linear OA(8156, large, F8, 20) (dual of [large, large−156, 21]-code) | [i] | ||
| 35 | Linear OA(8157, large, F8, 20) (dual of [large, large−157, 21]-code) | [i] | ||
| 36 | Linear OA(8158, large, F8, 20) (dual of [large, large−158, 21]-code) | [i] | ||
| 37 | Linear OA(8159, large, F8, 20) (dual of [large, large−159, 21]-code) | [i] | ||
| 38 | Linear OA(8160, large, F8, 20) (dual of [large, large−160, 21]-code) | [i] | ||
| 39 | Linear OA(8162, large, F8, 20) (dual of [large, large−162, 21]-code) | [i] | ||
| 40 | Linear OA(8163, large, F8, 20) (dual of [large, large−163, 21]-code) | [i] | ||
| 41 | Linear OA(8164, large, F8, 20) (dual of [large, large−164, 21]-code) | [i] | ||
| 42 | Linear OA(8165, large, F8, 20) (dual of [large, large−165, 21]-code) | [i] | ||
| 43 | Linear OA(8166, large, F8, 20) (dual of [large, large−166, 21]-code) | [i] | ||
| 44 | Linear OA(8167, large, F8, 20) (dual of [large, large−167, 21]-code) | [i] | ||
| 45 | Linear OA(8170, large, F8, 20) (dual of [large, large−170, 21]-code) | [i] | ||
| 46 | Linear OA(8171, large, F8, 20) (dual of [large, large−171, 21]-code) | [i] | ||
| 47 | Linear OA(8172, large, F8, 20) (dual of [large, large−172, 21]-code) | [i] | ||
| 48 | Linear OA(8173, large, F8, 20) (dual of [large, large−173, 21]-code) | [i] | ||
| 49 | Linear OOA(8137, 7184192, F8, 2, 20) (dual of [(7184192, 2), 14368247, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 50 | Linear OOA(8137, 7184192, F8, 3, 20) (dual of [(7184192, 3), 21552439, 21]-NRT-code) | [i] | ||
| 51 | Digital (117, 137, 7184192)-net over F8 | [i] | ||
| 52 | Linear OOA(8137, 4194301, F8, 2, 20) (dual of [(4194301, 2), 8388465, 21]-NRT-code) | [i] | OOA Folding | |
| 53 | Linear OOA(8137, 2796201, F8, 3, 20) (dual of [(2796201, 3), 8388466, 21]-NRT-code) | [i] | ||
| 54 | Linear OOA(8137, 838860, F8, 20, 20) (dual of [(838860, 20), 16777063, 21]-NRT-code) | [i] | OA Folding and Stacking | |