Information on Result #611424
Linear OA(2199, 512, F2, 47) (dual of [512, 313, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(2209, 522, F2, 49) (dual of [522, 313, 50]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(2211, 516, F2, 51) (dual of [516, 305, 52]-code) | [i] | ✔ | |
| 3 | Linear OA(2212, 520, F2, 51) (dual of [520, 308, 52]-code) | [i] | ✔ | |
| 4 | Linear OA(2213, 526, F2, 51) (dual of [526, 313, 52]-code) | [i] | ✔ | |
| 5 | Linear OA(2200, 522, F2, 47) (dual of [522, 322, 48]-code) | [i] | ✔ | |
| 6 | Linear OA(2227, 534, F2, 53) (dual of [534, 307, 54]-code) | [i] | ✔ | |
| 7 | Linear OA(2228, 541, F2, 53) (dual of [541, 313, 54]-code) | [i] | ✔ | |
| 8 | Linear OA(2204, 528, F2, 47) (dual of [528, 324, 48]-code) | [i] | ✔ | |
| 9 | Linear OA(2205, 536, F2, 47) (dual of [536, 331, 48]-code) | [i] | ✔ | |
| 10 | Linear OA(2243, 552, F2, 55) (dual of [552, 309, 56]-code) | [i] | ✔ | |
| 11 | Linear OA(2244, 557, F2, 55) (dual of [557, 313, 56]-code) | [i] | ✔ | |
| 12 | Linear OA(2210, 545, F2, 47) (dual of [545, 335, 48]-code) | [i] | ✔ | |
| 13 | Linear OA(2212, 552, F2, 47) (dual of [552, 340, 48]-code) | [i] | ✔ | |
| 14 | Linear OA(2260, 573, F2, 57) (dual of [573, 313, 58]-code) | [i] | ✔ | |
| 15 | Linear OA(2217, 560, F2, 47) (dual of [560, 343, 48]-code) | [i] | ✔ | |
| 16 | Linear OA(2218, 567, F2, 47) (dual of [567, 349, 48]-code) | [i] | ✔ | |
| 17 | Linear OA(2224, 577, F2, 47) (dual of [577, 353, 48]-code) | [i] | ✔ | |
| 18 | Linear OA(2243, 553, F2, 55) (dual of [553, 310, 56]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 19 | Linear OA(2242, 551, F2, 55) (dual of [551, 309, 56]-code) | [i] | ✔ | |
| 20 | Linear OA(2240, 548, F2, 55) (dual of [548, 308, 56]-code) | [i] | ✔ | |
| 21 | Linear OA(2239, 546, F2, 55) (dual of [546, 307, 56]-code) | [i] | ✔ | |
| 22 | Linear OA(2238, 544, F2, 55) (dual of [544, 306, 56]-code) | [i] | ✔ | |
| 23 | Linear OA(2226, 534, F2, 53) (dual of [534, 308, 54]-code) | [i] | ✔ | |
| 24 | Linear OA(2225, 532, F2, 53) (dual of [532, 307, 54]-code) | [i] | ✔ | |
| 25 | Linear OA(2224, 530, F2, 53) (dual of [530, 306, 54]-code) | [i] | ✔ | |
| 26 | Linear OA(2233, 550, F2, 53) (dual of [550, 317, 54]-code) | [i] | ✔ | |
| 27 | Linear OA(2232, 548, F2, 53) (dual of [548, 316, 54]-code) | [i] | ✔ | |
| 28 | Linear OA(2231, 546, F2, 53) (dual of [546, 315, 54]-code) | [i] | ✔ | |
| 29 | Linear OA(2213, 529, F2, 49) (dual of [529, 316, 50]-code) | [i] | ✔ | |
| 30 | Linear OA(2216, 531, F2, 51) (dual of [531, 315, 52]-code) | [i] | ✔ | |
| 31 | Linear OA(2212, 527, F2, 49) (dual of [527, 315, 50]-code) | [i] | ✔ | |
| 32 | Linear OA(2204, 529, F2, 47) (dual of [529, 325, 48]-code) | [i] | ✔ | |
| 33 | Linear OA(2203, 527, F2, 47) (dual of [527, 324, 48]-code) | [i] | ✔ | |
| 34 | Linear OA(2211, 547, F2, 47) (dual of [547, 336, 48]-code) | [i] | ✔ | |
| 35 | Linear OA(2209, 543, F2, 47) (dual of [543, 334, 48]-code) | [i] | ✔ | |
| 36 | Linear OA(2208, 541, F2, 47) (dual of [541, 333, 48]-code) | [i] | ✔ | |
| 37 | Linear OOA(2199, 256, F2, 2, 47) (dual of [(256, 2), 313, 48]-NRT-code) | [i] | OOA Folding | |
| 38 | Linear OOA(2199, 128, F2, 4, 47) (dual of [(128, 4), 313, 48]-NRT-code) | [i] | ||