Information on Result #700553
Linear OA(2126, 127, F2, 126) (dual of [127, 1, 127]-code or 127-arc in PG(125,2)), using the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,63], and designed minimum distance d ≥ |I|+1 = 127
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(2126, 127, F2, 125) (dual of [127, 1, 126]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2126, 127, F2, 124) (dual of [127, 1, 125]-code) | [i] | ||
| 3 | Linear OA(2126, 127, F2, 123) (dual of [127, 1, 124]-code) | [i] | ||
| 4 | Linear OA(2126, 127, F2, 122) (dual of [127, 1, 123]-code) | [i] | ||
| 5 | Linear OA(2126, 127, F2, 121) (dual of [127, 1, 122]-code) | [i] | ||
| 6 | Linear OA(2126, 127, F2, 120) (dual of [127, 1, 121]-code) | [i] | ||
| 7 | Linear OA(2126, 127, F2, 119) (dual of [127, 1, 120]-code) | [i] | ||
| 8 | Linear OA(2126, 127, F2, 118) (dual of [127, 1, 119]-code) | [i] | ||
| 9 | Linear OA(2126, 127, F2, 117) (dual of [127, 1, 118]-code) | [i] | ||
| 10 | Linear OA(2126, 127, F2, 116) (dual of [127, 1, 117]-code) | [i] | ||
| 11 | Linear OA(2126, 127, F2, 115) (dual of [127, 1, 116]-code) | [i] | ||
| 12 | Linear OA(2126, 127, F2, 114) (dual of [127, 1, 115]-code) | [i] | ||
| 13 | Linear OA(2126, 127, F2, 113) (dual of [127, 1, 114]-code) | [i] | ||
| 14 | Linear OA(2126, 127, F2, 112) (dual of [127, 1, 113]-code) | [i] | ||
| 15 | Linear OA(2126, 127, F2, 111) (dual of [127, 1, 112]-code) | [i] | ||
| 16 | Linear OA(2126, 127, F2, 110) (dual of [127, 1, 111]-code) | [i] | ||
| 17 | Linear OA(2126, 127, F2, 109) (dual of [127, 1, 110]-code) | [i] | ||
| 18 | Linear OA(2126, 127, F2, 108) (dual of [127, 1, 109]-code) | [i] | ||
| 19 | Linear OA(2126, 127, F2, 107) (dual of [127, 1, 108]-code) | [i] | ||
| 20 | Linear OA(2126, 127, F2, 106) (dual of [127, 1, 107]-code) | [i] | ||
| 21 | Linear OA(2126, 127, F2, 105) (dual of [127, 1, 106]-code) | [i] | ||
| 22 | Linear OA(2126, 127, F2, 104) (dual of [127, 1, 105]-code) | [i] | ||
| 23 | Linear OA(2126, 127, F2, 103) (dual of [127, 1, 104]-code) | [i] | ||
| 24 | Linear OA(2126, 127, F2, 102) (dual of [127, 1, 103]-code) | [i] | ||
| 25 | Linear OA(2126, 127, F2, 101) (dual of [127, 1, 102]-code) | [i] | ||
| 26 | Linear OA(2126, 127, F2, 100) (dual of [127, 1, 101]-code) | [i] | ||
| 27 | Linear OA(2126, 127, F2, 99) (dual of [127, 1, 100]-code) | [i] | ||
| 28 | Linear OA(2126, 127, F2, 98) (dual of [127, 1, 99]-code) | [i] | ||
| 29 | Linear OA(2126, 127, F2, 97) (dual of [127, 1, 98]-code) | [i] | ||
| 30 | Linear OA(2126, 127, F2, 96) (dual of [127, 1, 97]-code) | [i] | ||
| 31 | Linear OA(2126, 127, F2, 95) (dual of [127, 1, 96]-code) | [i] | ||
| 32 | Linear OA(2126, 127, F2, 94) (dual of [127, 1, 95]-code) | [i] | ||
| 33 | Linear OA(2126, 127, F2, 93) (dual of [127, 1, 94]-code) | [i] | ||
| 34 | Linear OA(2126, 127, F2, 92) (dual of [127, 1, 93]-code) | [i] | ||
| 35 | Linear OA(2126, 127, F2, 91) (dual of [127, 1, 92]-code) | [i] | ||
| 36 | Linear OA(2126, 127, F2, 90) (dual of [127, 1, 91]-code) | [i] | ||
| 37 | Linear OA(2126, 127, F2, 89) (dual of [127, 1, 90]-code) | [i] | ||
| 38 | Linear OA(2126, 127, F2, 88) (dual of [127, 1, 89]-code) | [i] | ||
| 39 | Linear OA(2126, 127, F2, 87) (dual of [127, 1, 88]-code) | [i] | ||
| 40 | Linear OA(2126, 127, F2, 86) (dual of [127, 1, 87]-code) | [i] | ||
| 41 | Linear OA(2126, 127, F2, 85) (dual of [127, 1, 86]-code) | [i] | ||
| 42 | Linear OA(2194, 202, F2, 98) (dual of [202, 8, 99]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 43 | Linear OA(2190, 198, F2, 96) (dual of [198, 8, 97]-code) | [i] | ✔ | |
| 44 | Linear OA(2150, 165, F2, 70) (dual of [165, 15, 71]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 45 | Linear OA(2147, 162, F2, 68) (dual of [162, 15, 69]-code) | [i] | ✔ | |
| 46 | Linear OA(2143, 158, F2, 66) (dual of [158, 15, 67]-code) | [i] | ✔ | |
| 47 | Linear OA(2139, 154, F2, 64) (dual of [154, 15, 65]-code) | [i] | ✔ | |
| 48 | Linear OA(2149, 162, F2, 70) (dual of [162, 13, 71]-code) | [i] | ✔ | |
| 49 | Linear OA(2146, 159, F2, 68) (dual of [159, 13, 69]-code) | [i] | ✔ | |
| 50 | Linear OA(2142, 155, F2, 66) (dual of [155, 13, 67]-code) | [i] | ✔ | |
| 51 | Linear OA(2138, 151, F2, 64) (dual of [151, 13, 65]-code) | [i] | ✔ | |
| 52 | Linear OA(2134, 143, F2, 64) (dual of [143, 9, 65]-code) | [i] | ✔ | |