Information on Result #684059
Linear OA(5124, 125, F5, 124) (dual of [125, 1, 125]-code or 125-arc in PG(123,5)), using an extension Ce(123) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,123], and designed minimum distance d ≥ |I|+1 = 124
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(5124, 125, F5, 123) (dual of [125, 1, 124]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(5124, 125, F5, 122) (dual of [125, 1, 123]-code) | [i] | ||
| 3 | Linear OA(5124, 125, F5, 121) (dual of [125, 1, 122]-code) | [i] | ||
| 4 | Linear OA(5124, 125, F5, 120) (dual of [125, 1, 121]-code) | [i] | ||
| 5 | Linear OA(5124, 125, F5, 119) (dual of [125, 1, 120]-code) | [i] | ||
| 6 | Linear OA(5124, 125, F5, 118) (dual of [125, 1, 119]-code) | [i] | ||
| 7 | Linear OA(5124, 125, F5, 117) (dual of [125, 1, 118]-code) | [i] | ||
| 8 | Linear OA(5124, 125, F5, 116) (dual of [125, 1, 117]-code) | [i] | ||
| 9 | Linear OA(5124, 125, F5, 115) (dual of [125, 1, 116]-code) | [i] | ||
| 10 | Linear OA(5124, 125, F5, 114) (dual of [125, 1, 115]-code) | [i] | ||
| 11 | Linear OA(5124, 125, F5, 113) (dual of [125, 1, 114]-code) | [i] | ||
| 12 | Linear OA(5124, 125, F5, 112) (dual of [125, 1, 113]-code) | [i] | ||
| 13 | Linear OA(5124, 125, F5, 111) (dual of [125, 1, 112]-code) | [i] | ||
| 14 | Linear OA(5124, 125, F5, 110) (dual of [125, 1, 111]-code) | [i] | ||
| 15 | Linear OA(5124, 125, F5, 109) (dual of [125, 1, 110]-code) | [i] | ||
| 16 | Linear OA(5124, 125, F5, 108) (dual of [125, 1, 109]-code) | [i] | ||
| 17 | Linear OA(5124, 125, F5, 107) (dual of [125, 1, 108]-code) | [i] | ||
| 18 | Linear OA(5124, 125, F5, 106) (dual of [125, 1, 107]-code) | [i] | ||
| 19 | Linear OA(5124, 125, F5, 105) (dual of [125, 1, 106]-code) | [i] | ||
| 20 | Linear OA(5130, 137, F5, 100) (dual of [137, 7, 101]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 21 | Linear OA(5150, 157, F5, 115) (dual of [157, 7, 116]-code) | [i] | ✔ | |
| 22 | Linear OA(5133, 140, F5, 102) (dual of [140, 7, 103]-code) | [i] | ✔ | |
| 23 | Linear OA(5143, 150, F5, 110) (dual of [150, 7, 111]-code) | [i] | ✔ | |
| 24 | Linear OA(5138, 145, F5, 106) (dual of [145, 7, 107]-code) | [i] | ✔ | |