Information on Result #611512
Linear OA(2209, 256, F2, 85) (dual of [256, 47, 86]-code), using an extension Ce(84) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,84], and designed minimum distance d ≥ |I|+1 = 85
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2209, 256, F2, 84) (dual of [256, 47, 85]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2209, 256, F2, 83) (dual of [256, 47, 84]-code) | [i] | ||
| 3 | Linear OA(2209, 256, F2, 82) (dual of [256, 47, 83]-code) | [i] | ||
| 4 | Linear OA(2209, 256, F2, 81) (dual of [256, 47, 82]-code) | [i] | ||
| 5 | Linear OA(2209, 256, F2, 80) (dual of [256, 47, 81]-code) | [i] | ||
| 6 | Linear OA(2209, 256, F2, 79) (dual of [256, 47, 80]-code) | [i] | ||
| 7 | Linear OA(2209, 256, F2, 78) (dual of [256, 47, 79]-code) | [i] | ||
| 8 | Linear OA(2209, 256, F2, 77) (dual of [256, 47, 78]-code) | [i] | ||
| 9 | Linear OA(2209, 256, F2, 76) (dual of [256, 47, 77]-code) | [i] | ||
| 10 | Linear OA(2213, 260, F2, 85) (dual of [260, 47, 86]-code) | [i] | Code Embedding in Larger Space | |
| 11 | Linear OA(2214, 261, F2, 85) (dual of [261, 47, 86]-code) | [i] | ||
| 12 | Linear OA(2215, 262, F2, 85) (dual of [262, 47, 86]-code) | [i] | ||
| 13 | Linear OA(2216, 263, F2, 85) (dual of [263, 47, 86]-code) | [i] | ||
| 14 | Linear OA(2217, 264, F2, 85) (dual of [264, 47, 86]-code) | [i] | ||
| 15 | Linear OA(2207, 254, F2, 83) (dual of [254, 47, 84]-code) | [i] | Truncation | |
| 16 | Linear OA(2206, 253, F2, 82) (dual of [253, 47, 83]-code) | [i] | ||
| 17 | Linear OA(2205, 252, F2, 81) (dual of [252, 47, 82]-code) | [i] | ||
| 18 | Linear OA(2204, 251, F2, 80) (dual of [251, 47, 81]-code) | [i] | ||
| 19 | Linear OA(2203, 250, F2, 79) (dual of [250, 47, 80]-code) | [i] | ||
| 20 | Linear OA(2202, 249, F2, 78) (dual of [249, 47, 79]-code) | [i] | ||
| 21 | Linear OA(2201, 248, F2, 77) (dual of [248, 47, 78]-code) | [i] | ||
| 22 | Linear OA(2200, 247, F2, 76) (dual of [247, 47, 77]-code) | [i] | ||
| 23 | Linear OA(2199, 246, F2, 75) (dual of [246, 47, 76]-code) | [i] | ||
| 24 | Linear OA(2198, 245, F2, 74) (dual of [245, 47, 75]-code) | [i] | ||
| 25 | Linear OA(2197, 244, F2, 73) (dual of [244, 47, 74]-code) | [i] | ||
| 26 | Linear OA(2196, 243, F2, 72) (dual of [243, 47, 73]-code) | [i] | ||
| 27 | Linear OA(2195, 242, F2, 71) (dual of [242, 47, 72]-code) | [i] | ||
| 28 | Linear OA(2194, 241, F2, 70) (dual of [241, 47, 71]-code) | [i] | ||
| 29 | Linear OA(2193, 240, F2, 69) (dual of [240, 47, 70]-code) | [i] | ||
| 30 | Linear OA(2192, 239, F2, 68) (dual of [239, 47, 69]-code) | [i] | ||
| 31 | Linear OA(2191, 238, F2, 67) (dual of [238, 47, 68]-code) | [i] | ||
| 32 | Linear OA(2190, 237, F2, 66) (dual of [237, 47, 67]-code) | [i] | ||
| 33 | Linear OA(2189, 236, F2, 65) (dual of [236, 47, 66]-code) | [i] | ||
| 34 | Linear OA(2188, 235, F2, 64) (dual of [235, 47, 65]-code) | [i] | ||
| 35 | Linear OA(2124, 170, F2, 42) (dual of [170, 46, 43]-code) | [i] | Residual Code | |
| 36 | Linear OA(2212, 259, F2, 87) (dual of [259, 47, 88]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 37 | Linear OA(2230, 278, F2, 85) (dual of [278, 48, 86]-code) | [i] | ✔ | |
| 38 | Linear OA(2240, 289, F2, 85) (dual of [289, 49, 86]-code) | [i] | ✔ | |
| 39 | Linear OA(2228, 274, F2, 91) (dual of [274, 46, 92]-code) | [i] | ✔ | |
| 40 | Linear OA(2229, 276, F2, 91) (dual of [276, 47, 92]-code) | [i] | ✔ | |
| 41 | Linear OA(2224, 271, F2, 89) (dual of [271, 47, 90]-code) | [i] | ✔ | |
| 42 | Linear OA(2248, 295, F2, 95) (dual of [295, 47, 96]-code) | [i] | ✔ | |
| 43 | Linear OA(2244, 291, F2, 93) (dual of [291, 47, 94]-code) | [i] | ✔ | |
| 44 | Linear OA(2247, 294, F2, 95) (dual of [294, 47, 96]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 45 | Linear OA(2241, 288, F2, 93) (dual of [288, 47, 94]-code) | [i] | ✔ | |
| 46 | Linear OA(2246, 292, F2, 95) (dual of [292, 46, 96]-code) | [i] | ✔ | |
| 47 | Linear OA(2240, 286, F2, 93) (dual of [286, 46, 94]-code) | [i] | ✔ | |
| 48 | Linear OA(2227, 274, F2, 91) (dual of [274, 47, 92]-code) | [i] | ✔ | |
| 49 | Linear OA(2223, 270, F2, 89) (dual of [270, 47, 90]-code) | [i] | ✔ | |
| 50 | Linear OA(2226, 272, F2, 91) (dual of [272, 46, 92]-code) | [i] | ✔ | |
| 51 | Linear OA(2222, 268, F2, 89) (dual of [268, 46, 90]-code) | [i] | ✔ | |
| 52 | Linear OA(2234, 282, F2, 87) (dual of [282, 48, 88]-code) | [i] | ✔ | |
| 53 | Linear OOA(2209, 128, F2, 2, 85) (dual of [(128, 2), 47, 86]-NRT-code) | [i] | OOA Folding | |
| 54 | Linear OOA(2209, 64, F2, 4, 85) (dual of [(64, 4), 47, 86]-NRT-code) | [i] | ||