Information on Result #612274
Linear OA(3126, 243, F3, 43) (dual of [243, 117, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43
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(3131, 248, F3, 44) (dual of [248, 117, 45]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(3127, 249, F3, 43) (dual of [249, 122, 44]-code) | [i] | ✔ | |
| 3 | Linear OA(3137, 254, F3, 45) (dual of [254, 117, 46]-code) | [i] | ✔ | |
| 4 | Linear OA(3140, 253, F3, 47) (dual of [253, 113, 48]-code) | [i] | ✔ | |
| 5 | Linear OA(3141, 258, F3, 47) (dual of [258, 117, 48]-code) | [i] | ✔ | |
| 6 | Linear OA(3139, 256, F3, 46) (dual of [256, 117, 47]-code) | [i] | ✔ | |
| 7 | Linear OA(3127, 254, F3, 42) (dual of [254, 127, 43]-code) | [i] | ✔ | |
| 8 | Linear OA(3129, 256, F3, 43) (dual of [256, 127, 44]-code) | [i] | ✔ | |
| 9 | Linear OA(3149, 266, F3, 49) (dual of [266, 117, 50]-code) | [i] | ✔ | |
| 10 | Linear OA(3133, 265, F3, 43) (dual of [265, 132, 44]-code) | [i] | ✔ | |
| 11 | Linear OA(3131, 263, F3, 42) (dual of [263, 132, 43]-code) | [i] | ✔ | |
| 12 | Linear OA(3147, 260, F3, 48) (dual of [260, 113, 49]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 13 | Linear OA(3138, 251, F3, 46) (dual of [251, 113, 47]-code) | [i] | ✔ | |
| 14 | Linear OA(3143, 261, F3, 47) (dual of [261, 118, 48]-code) | [i] | ✔ | |
| 15 | Linear OA(3139, 257, F3, 45) (dual of [257, 118, 46]-code) | [i] | ✔ | |
| 16 | Linear OA(3133, 251, F3, 44) (dual of [251, 118, 45]-code) | [i] | ✔ | |
| 17 | Linear OA(3128, 251, F3, 43) (dual of [251, 123, 44]-code) | [i] | ✔ | |
| 18 | Linear OA(3130, 259, F3, 42) (dual of [259, 129, 43]-code) | [i] | ✔ | |
| 19 | Linear OA(3132, 260, F3, 43) (dual of [260, 128, 44]-code) | [i] | ✔ | |
| 20 | Linear OA(3129, 257, F3, 42) (dual of [257, 128, 43]-code) | [i] | ✔ | |
| 21 | Linear OA(3138, 273, F3, 43) (dual of [273, 135, 44]-code) | [i] | ✔ | |
| 22 | Linear OA(3137, 271, F3, 43) (dual of [271, 134, 44]-code) | [i] | ✔ | |
| 23 | Linear OA(3136, 269, F3, 43) (dual of [269, 133, 44]-code) | [i] | ✔ | |
| 24 | Linear OOA(3126, 81, F3, 3, 43) (dual of [(81, 3), 117, 44]-NRT-code) | [i] | OOA Folding | |