Information on Result #611187
Linear OA(2230, large, F2, 20) (dual of [large, large−230, 21]-code), using the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,20], 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(2230, large, F2, 19) (dual of [large, large−230, 20]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2230, large, F2, 18) (dual of [large, large−230, 19]-code) | [i] | ||
| 3 | Linear OA(2230, large, F2, 17) (dual of [large, large−230, 18]-code) | [i] | ||
| 4 | Linear OA(2230, large, F2, 16) (dual of [large, large−230, 17]-code) | [i] | ||
| 5 | Linear OA(2230, large, F2, 15) (dual of [large, large−230, 16]-code) | [i] | ||
| 6 | Linear OA(2230, large, F2, 14) (dual of [large, large−230, 15]-code) | [i] | ||
| 7 | Linear OA(2230, large, F2, 13) (dual of [large, large−230, 14]-code) | [i] | ||
| 8 | Linear OA(2230, large, F2, 12) (dual of [large, large−230, 13]-code) | [i] | ||
| 9 | Linear OA(2230, large, F2, 11) (dual of [large, large−230, 12]-code) | [i] | ||
| 10 | Linear OA(2230, large, F2, 10) (dual of [large, large−230, 11]-code) | [i] | ||
| 11 | Linear OA(2230, large, F2, 9) (dual of [large, large−230, 10]-code) | [i] | ||
| 12 | Linear OA(2230, large, F2, 8) (dual of [large, large−230, 9]-code) | [i] | ||
| 13 | Linear OA(2230, large, F2, 7) (dual of [large, large−230, 8]-code) | [i] | ||
| 14 | Linear OA(2230, large, F2, 6) (dual of [large, large−230, 7]-code) | [i] | ||
| 15 | Linear OA(2230, large, F2, 5) (dual of [large, large−230, 6]-code) | [i] | ||
| 16 | Linear OA(2230, large, F2, 4) (dual of [large, large−230, 5]-code) | [i] | ||
| 17 | Linear OA(2232, large, F2, 20) (dual of [large, large−232, 21]-code) | [i] | Code Embedding in Larger Space | |
| 18 | Linear OA(2233, large, F2, 20) (dual of [large, large−233, 21]-code) | [i] | ||
| 19 | Linear OA(2234, large, F2, 20) (dual of [large, large−234, 21]-code) | [i] | ||
| 20 | Linear OA(2235, large, F2, 20) (dual of [large, large−235, 21]-code) | [i] | ||
| 21 | Linear OA(2236, large, F2, 20) (dual of [large, large−236, 21]-code) | [i] | ||
| 22 | Linear OA(2237, large, F2, 20) (dual of [large, large−237, 21]-code) | [i] | ||
| 23 | Linear OA(2238, large, F2, 20) (dual of [large, large−238, 21]-code) | [i] | ||
| 24 | Linear OA(2239, large, F2, 20) (dual of [large, large−239, 21]-code) | [i] | ||
| 25 | Linear OA(2240, large, F2, 20) (dual of [large, large−240, 21]-code) | [i] | ||
| 26 | Linear OA(2241, large, F2, 20) (dual of [large, large−241, 21]-code) | [i] | ||
| 27 | Linear OA(2242, large, F2, 20) (dual of [large, large−242, 21]-code) | [i] | ||
| 28 | Linear OA(2243, large, F2, 20) (dual of [large, large−243, 21]-code) | [i] | ||
| 29 | Linear OA(2244, large, F2, 20) (dual of [large, large−244, 21]-code) | [i] | ||
| 30 | Linear OA(2245, large, F2, 20) (dual of [large, large−245, 21]-code) | [i] | ||
| 31 | Linear OA(2246, large, F2, 20) (dual of [large, large−246, 21]-code) | [i] | ||
| 32 | Linear OA(2247, large, F2, 20) (dual of [large, large−247, 21]-code) | [i] | ||
| 33 | Linear OA(2248, large, F2, 20) (dual of [large, large−248, 21]-code) | [i] | ||
| 34 | Linear OA(2249, large, F2, 20) (dual of [large, large−249, 21]-code) | [i] | ||
| 35 | Linear OA(2250, large, F2, 20) (dual of [large, large−250, 21]-code) | [i] | ||
| 36 | Linear OA(2251, large, F2, 20) (dual of [large, large−251, 21]-code) | [i] | ||
| 37 | Linear OA(2252, large, F2, 20) (dual of [large, large−252, 21]-code) | [i] | ||
| 38 | Linear OA(2255, large, F2, 20) (dual of [large, large−255, 21]-code) | [i] | ||
| 39 | Linear OA(2256, large, F2, 20) (dual of [large, large−256, 21]-code) | [i] | ||
| 40 | Linear OA(2257, large, F2, 20) (dual of [large, large−257, 21]-code) | [i] | ||
| 41 | Linear OA(2258, large, F2, 20) (dual of [large, large−258, 21]-code) | [i] | ||
| 42 | Linear OA(2259, large, F2, 20) (dual of [large, large−259, 21]-code) | [i] | ||
| 43 | Linear OA(2260, large, F2, 20) (dual of [large, large−260, 21]-code) | [i] | ||
| 44 | Linear OOA(2230, 4194301, F2, 2, 20) (dual of [(4194301, 2), 8388372, 21]-NRT-code) | [i] | OOA Folding | |
| 45 | Linear OOA(2230, 2796201, F2, 3, 20) (dual of [(2796201, 3), 8388373, 21]-NRT-code) | [i] | ||
| 46 | Linear OOA(2230, 2097150, F2, 4, 20) (dual of [(2097150, 4), 8388370, 21]-NRT-code) | [i] | ||
| 47 | Linear OOA(2230, 1677720, F2, 5, 20) (dual of [(1677720, 5), 8388370, 21]-NRT-code) | [i] | ||
| 48 | Linear OOA(2230, 1398100, F2, 6, 20) (dual of [(1398100, 6), 8388370, 21]-NRT-code) | [i] | ||
| 49 | Linear OOA(2230, 1198371, F2, 7, 20) (dual of [(1198371, 7), 8388367, 21]-NRT-code) | [i] | ||
| 50 | Linear OOA(2230, 1048575, F2, 8, 20) (dual of [(1048575, 8), 8388370, 21]-NRT-code) | [i] | ||
| 51 | Linear OOA(2230, 838860, F2, 20, 20) (dual of [(838860, 20), 16776970, 21]-NRT-code) | [i] | OA Folding and Stacking | |