Information on Result #684009
Linear OA(5121, 125, F5, 99) (dual of [125, 4, 100]-code), using an extension Ce(98) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,98], and designed minimum distance d ≥ |I|+1 = 99
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(5121, 125, F5, 98) (dual of [125, 4, 99]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(5121, 125, F5, 97) (dual of [125, 4, 98]-code) | [i] | ||
| 3 | Linear OA(5121, 125, F5, 96) (dual of [125, 4, 97]-code) | [i] | ||
| 4 | Linear OA(5122, 126, F5, 99) (dual of [126, 4, 100]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(5120, 124, F5, 98) (dual of [124, 4, 99]-code) | [i] | Truncation | |
| 6 | Linear OA(5119, 123, F5, 97) (dual of [123, 4, 98]-code) | [i] | ||
| 7 | Linear OA(5118, 122, F5, 96) (dual of [122, 4, 97]-code) | [i] | ||
| 8 | Linear OA(5117, 121, F5, 95) (dual of [121, 4, 96]-code) | [i] | ||
| 9 | Linear OA(5116, 120, F5, 94) (dual of [120, 4, 95]-code) | [i] | ||
| 10 | Linear OA(5115, 119, F5, 93) (dual of [119, 4, 94]-code) | [i] | ||
| 11 | Linear OA(5114, 118, F5, 92) (dual of [118, 4, 93]-code) | [i] | ||
| 12 | Linear OA(5113, 117, F5, 91) (dual of [117, 4, 92]-code) | [i] | ||
| 13 | Linear OA(5112, 116, F5, 90) (dual of [116, 4, 91]-code) | [i] | ||
| 14 | Linear OA(5111, 115, F5, 89) (dual of [115, 4, 90]-code) | [i] | ||
| 15 | Linear OA(5109, 113, F5, 87) (dual of [113, 4, 88]-code) | [i] | ||
| 16 | Linear OA(5108, 112, F5, 86) (dual of [112, 4, 87]-code) | [i] | ||
| 17 | Linear OA(5107, 111, F5, 85) (dual of [111, 4, 86]-code) | [i] | ||
| 18 | Linear OA(5106, 110, F5, 84) (dual of [110, 4, 85]-code) | [i] | ||
| 19 | Linear OA(5105, 109, F5, 83) (dual of [109, 4, 84]-code) | [i] | ||
| 20 | Linear OA(5103, 107, F5, 81) (dual of [107, 4, 82]-code) | [i] | ||
| 21 | Linear OA(5102, 106, F5, 80) (dual of [106, 4, 81]-code) | [i] | ||
| 22 | Linear OA(5122, 129, F5, 96) (dual of [129, 7, 97]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 23 | Linear OA(5125, 131, F5, 99) (dual of [131, 6, 100]-code) | [i] | ✔ | |
| 24 | Linear OA(5126, 133, F5, 99) (dual of [133, 7, 100]-code) | [i] | ✔ | |
| 25 | Linear OA(5124, 131, F5, 98) (dual of [131, 7, 99]-code) | [i] | ✔ | |
| 26 | Linear OA(5122, 130, F5, 95) (dual of [130, 8, 96]-code) | [i] | ✔ | |
| 27 | Linear OA(5127, 135, F5, 99) (dual of [135, 8, 100]-code) | [i] | ✔ | |
| 28 | Linear OA(5123, 131, F5, 96) (dual of [131, 8, 97]-code) | [i] | ✔ | |
| 29 | Linear OA(5124, 132, F5, 97) (dual of [132, 8, 98]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |