Information on Result #613486
Linear OA(4200, 256, F4, 102) (dual of [256, 56, 103]-code), using an extension Ce(101) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,101], and designed minimum distance d ≥ |I|+1 = 102
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(4200, 256, F4, 101) (dual of [256, 56, 102]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4200, 256, F4, 100) (dual of [256, 56, 101]-code) | [i] | ||
| 3 | Linear OA(4200, 256, F4, 99) (dual of [256, 56, 100]-code) | [i] | ||
| 4 | Linear OA(4203, 259, F4, 102) (dual of [259, 56, 103]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(4204, 260, F4, 102) (dual of [260, 56, 103]-code) | [i] | ||
| 6 | Linear OA(4199, 255, F4, 101) (dual of [255, 56, 102]-code) | [i] | Truncation | |
| 7 | Linear OA(4198, 254, F4, 100) (dual of [254, 56, 101]-code) | [i] | ||
| 8 | Linear OA(4197, 253, F4, 99) (dual of [253, 56, 100]-code) | [i] | ||
| 9 | Linear OA(4196, 252, F4, 98) (dual of [252, 56, 99]-code) | [i] | ||
| 10 | Linear OA(4195, 251, F4, 97) (dual of [251, 56, 98]-code) | [i] | ||
| 11 | Linear OA(4194, 250, F4, 96) (dual of [250, 56, 97]-code) | [i] | ||
| 12 | Linear OA(4202, 258, F4, 103) (dual of [258, 56, 104]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 13 | Linear OA(4207, 265, F4, 102) (dual of [265, 58, 103]-code) | [i] | ✔ | |
| 14 | Linear OA(4207, 263, F4, 104) (dual of [263, 56, 105]-code) | [i] | ✔ | |
| 15 | Linear OA(4210, 266, F4, 106) (dual of [266, 56, 107]-code) | [i] | ✔ | |
| 16 | Linear OA(4201, 265, F4, 96) (dual of [265, 64, 97]-code) | [i] | ✔ | |
| 17 | Linear OA(4209, 273, F4, 102) (dual of [273, 64, 103]-code) | [i] | ✔ | |
| 18 | Linear OA(4215, 286, F4, 102) (dual of [286, 71, 103]-code) | [i] | ✔ | |
| 19 | Linear OA(4208, 263, F4, 105) (dual of [263, 55, 106]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 20 | Linear OA(4202, 259, F4, 102) (dual of [259, 57, 103]-code) | [i] | Construction X with Varšamov Bound | |
| 21 | Linear OOA(4200, 128, F4, 2, 102) (dual of [(128, 2), 56, 103]-NRT-code) | [i] | OOA Folding | |