Information on Result #1052291
Linear OOA(2208, 2097150, F2, 4, 19) (dual of [(2097150, 4), 8388392, 20]-NRT-code), using OOA 4-folding based on linear OA(2208, 8388600, F2, 19) (dual of [8388600, 8388392, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(2208, large, F2, 19) (dual of [large, large−208, 20]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [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(2208, 2097150, F2, 4, 18) (dual of [(2097150, 4), 8388392, 19]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2209, 2097150, F2, 4, 19) (dual of [(2097150, 4), 8388391, 20]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2218, 2097155, F2, 4, 19) (dual of [(2097155, 4), 8388402, 20]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(2219, 2097156, F2, 4, 19) (dual of [(2097156, 4), 8388405, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(2220, 2097157, F2, 4, 19) (dual of [(2097157, 4), 8388408, 20]-NRT-code) | [i] | ||
| 6 | Linear OOA(2221, 2097158, F2, 4, 19) (dual of [(2097158, 4), 8388411, 20]-NRT-code) | [i] | ||
| 7 | Linear OOA(2222, 2097160, F2, 4, 19) (dual of [(2097160, 4), 8388418, 20]-NRT-code) | [i] | ||
| 8 | Linear OOA(2223, 2097162, F2, 4, 19) (dual of [(2097162, 4), 8388425, 20]-NRT-code) | [i] | ||
| 9 | Linear OOA(2224, 2097164, F2, 4, 19) (dual of [(2097164, 4), 8388432, 20]-NRT-code) | [i] | ||
| 10 | Linear OOA(2225, 2097167, F2, 4, 19) (dual of [(2097167, 4), 8388443, 20]-NRT-code) | [i] | ||
| 11 | Linear OOA(2226, 2097170, F2, 4, 19) (dual of [(2097170, 4), 8388454, 20]-NRT-code) | [i] | ||
| 12 | Linear OOA(2227, 2097173, F2, 4, 19) (dual of [(2097173, 4), 8388465, 20]-NRT-code) | [i] | ||
| 13 | Linear OOA(2228, 2097176, F2, 4, 19) (dual of [(2097176, 4), 8388476, 20]-NRT-code) | [i] | ||
| 14 | Linear OOA(2229, 2097179, F2, 4, 19) (dual of [(2097179, 4), 8388487, 20]-NRT-code) | [i] | ||
| 15 | Linear OOA(2233, 2097184, F2, 4, 19) (dual of [(2097184, 4), 8388503, 20]-NRT-code) | [i] | ||
| 16 | Linear OOA(2234, 2097187, F2, 4, 19) (dual of [(2097187, 4), 8388514, 20]-NRT-code) | [i] | ||
| 17 | Linear OOA(2235, 2097190, F2, 4, 19) (dual of [(2097190, 4), 8388525, 20]-NRT-code) | [i] | ||
| 18 | Linear OOA(2236, 2097196, F2, 4, 19) (dual of [(2097196, 4), 8388548, 20]-NRT-code) | [i] | ||
| 19 | Linear OOA(2237, 2097199, F2, 4, 19) (dual of [(2097199, 4), 8388559, 20]-NRT-code) | [i] | ||
| 20 | Linear OOA(2238, 2097202, F2, 4, 19) (dual of [(2097202, 4), 8388570, 20]-NRT-code) | [i] | ||
| 21 | Linear OOA(2239, 2097208, F2, 4, 19) (dual of [(2097208, 4), 8388593, 20]-NRT-code) | [i] | ||
| 22 | Linear OOA(2244, 2097222, F2, 4, 19) (dual of [(2097222, 4), 8388644, 20]-NRT-code) | [i] | ||
| 23 | Linear OOA(2236, 2097197, F2, 4, 19) (dual of [(2097197, 4), 8388552, 20]-NRT-code) | [i] | ||
| 24 | Linear OOA(2237, 2097210, F2, 4, 19) (dual of [(2097210, 4), 8388603, 20]-NRT-code) | [i] | ||
| 25 | Linear OOA(2238, 2097218, F2, 4, 19) (dual of [(2097218, 4), 8388634, 20]-NRT-code) | [i] | ||
| 26 | Linear OOA(2239, 2097221, F2, 4, 19) (dual of [(2097221, 4), 8388645, 20]-NRT-code) | [i] | ||
| 27 | Linear OOA(2240, 2097236, F2, 4, 19) (dual of [(2097236, 4), 8388704, 20]-NRT-code) | [i] | ||
| 28 | Linear OOA(2241, 2097250, F2, 4, 19) (dual of [(2097250, 4), 8388759, 20]-NRT-code) | [i] | ||
| 29 | Linear OOA(2242, 2097263, F2, 4, 19) (dual of [(2097263, 4), 8388810, 20]-NRT-code) | [i] | ||
| 30 | Linear OOA(2243, 2097278, F2, 4, 19) (dual of [(2097278, 4), 8388869, 20]-NRT-code) | [i] | ||
| 31 | Linear OOA(2244, 2097287, F2, 4, 19) (dual of [(2097287, 4), 8388904, 20]-NRT-code) | [i] | ||
| 32 | Linear OOA(2245, 2097321, F2, 4, 19) (dual of [(2097321, 4), 8389039, 20]-NRT-code) | [i] | ||
| 33 | Linear OOA(2246, 2097334, F2, 4, 19) (dual of [(2097334, 4), 8389090, 20]-NRT-code) | [i] | ||
| 34 | Linear OOA(2247, 2097357, F2, 4, 19) (dual of [(2097357, 4), 8389181, 20]-NRT-code) | [i] | ||
| 35 | Linear OOA(2248, 2097384, F2, 4, 19) (dual of [(2097384, 4), 8389288, 20]-NRT-code) | [i] | ||
| 36 | Linear OOA(2249, 2097491, F2, 4, 19) (dual of [(2097491, 4), 8389715, 20]-NRT-code) | [i] | ||
| 37 | Linear OOA(2250, 2097495, F2, 4, 19) (dual of [(2097495, 4), 8389730, 20]-NRT-code) | [i] | ||
| 38 | Linear OOA(2251, 2097498, F2, 4, 19) (dual of [(2097498, 4), 8389741, 20]-NRT-code) | [i] | ||
| 39 | Linear OOA(2252, 2097525, F2, 4, 19) (dual of [(2097525, 4), 8389848, 20]-NRT-code) | [i] | ||
| 40 | Linear OOA(2253, 2097833, F2, 4, 19) (dual of [(2097833, 4), 8391079, 20]-NRT-code) | [i] | ||
| 41 | Linear OOA(2254, 2097837, F2, 4, 19) (dual of [(2097837, 4), 8391094, 20]-NRT-code) | [i] | ||
| 42 | Linear OOA(2257, 2098515, F2, 4, 19) (dual of [(2098515, 4), 8393803, 20]-NRT-code) | [i] | ||
| 43 | Linear OOA(2258, 2098520, F2, 4, 19) (dual of [(2098520, 4), 8393822, 20]-NRT-code) | [i] | ||