Information on Result #615028
Linear OA(8161, large, F8, 23) (dual of [large, large−161, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 16777217 | 816−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound)
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(8161, large, F8, 22) (dual of [large, large−161, 23]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8161, large, F8, 21) (dual of [large, large−161, 22]-code) | [i] | ||
| 3 | Linear OA(8161, large, F8, 20) (dual of [large, large−161, 21]-code) | [i] | ||
| 4 | Linear OA(8161, large, F8, 19) (dual of [large, large−161, 20]-code) | [i] | ||
| 5 | Linear OA(8161, large, F8, 18) (dual of [large, large−161, 19]-code) | [i] | ||
| 6 | Linear OA(8161, large, F8, 17) (dual of [large, large−161, 18]-code) | [i] | ||
| 7 | Linear OA(8161, large, F8, 16) (dual of [large, large−161, 17]-code) | [i] | ||
| 8 | Linear OA(8161, large, F8, 15) (dual of [large, large−161, 16]-code) | [i] | ||
| 9 | Linear OA(8161, large, F8, 14) (dual of [large, large−161, 15]-code) | [i] | ||
| 10 | Linear OA(8161, large, F8, 13) (dual of [large, large−161, 14]-code) | [i] | ||
| 11 | Linear OA(8161, large, F8, 12) (dual of [large, large−161, 13]-code) | [i] | ||
| 12 | Linear OA(8161, large, F8, 11) (dual of [large, large−161, 12]-code) | [i] | ||
| 13 | Linear OA(8161, large, F8, 10) (dual of [large, large−161, 11]-code) | [i] | ||
| 14 | Linear OA(8161, large, F8, 9) (dual of [large, large−161, 10]-code) | [i] | ||
| 15 | Linear OA(8161, large, F8, 8) (dual of [large, large−161, 9]-code) | [i] | ||
| 16 | Linear OA(8161, large, F8, 7) (dual of [large, large−161, 8]-code) | [i] | ||
| 17 | Linear OA(8161, large, F8, 6) (dual of [large, large−161, 7]-code) | [i] | ||
| 18 | Linear OA(8161, large, F8, 5) (dual of [large, large−161, 6]-code) | [i] | ||
| 19 | Linear OA(8161, large, F8, 4) (dual of [large, large−161, 5]-code) | [i] | ||
| 20 | Linear OA(8161, large, F8, 3) (dual of [large, large−161, 4]-code) | [i] | ||
| 21 | Linear OA(8162, large, F8, 23) (dual of [large, large−162, 24]-code) | [i] | Code Embedding in Larger Space | |
| 22 | Linear OA(8163, large, F8, 23) (dual of [large, large−163, 24]-code) | [i] | ||
| 23 | Linear OA(8164, large, F8, 23) (dual of [large, large−164, 24]-code) | [i] | ||
| 24 | Linear OA(8165, large, F8, 23) (dual of [large, large−165, 24]-code) | [i] | ||
| 25 | Linear OA(8166, large, F8, 23) (dual of [large, large−166, 24]-code) | [i] | ||
| 26 | Linear OA(8167, large, F8, 23) (dual of [large, large−167, 24]-code) | [i] | ||
| 27 | Linear OA(8170, large, F8, 23) (dual of [large, large−170, 24]-code) | [i] | ||
| 28 | Linear OA(8171, large, F8, 23) (dual of [large, large−171, 24]-code) | [i] | ||
| 29 | Linear OA(8172, large, F8, 23) (dual of [large, large−172, 24]-code) | [i] | ||
| 30 | Linear OA(8173, large, F8, 23) (dual of [large, large−173, 24]-code) | [i] | ||
| 31 | Linear OOA(8161, large, F8, 2, 23) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 32 | Linear OOA(8161, large, F8, 3, 23) | [i] | ||
| 33 | Digital (138, 161, large)-net over F8 | [i] | ||
| 34 | Linear OOA(8161, 4194301, F8, 2, 23) (dual of [(4194301, 2), 8388441, 24]-NRT-code) | [i] | OOA Folding | |
| 35 | Linear OOA(8161, 2796201, F8, 3, 23) (dual of [(2796201, 3), 8388442, 24]-NRT-code) | [i] | ||
| 36 | Linear OOA(8161, 762600, F8, 23, 23) (dual of [(762600, 23), 17539639, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |