Information on Result #707425
Linear OA(4221, 1023, F4, 59) (dual of [1023, 802, 60]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,58], and designed minimum distance d ≥ |I|+1 = 60
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.
Other Results with Identical Parameters
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OA(4246, 1092, F4, 59) (dual of [1092, 846, 60]-code) | [i] | ✔ | Construction X with Cyclic Codes |
2 | Linear OA(4247, 1094, F4, 59) (dual of [1094, 847, 60]-code) | [i] | ✔ | |
3 | Linear OA(4255, 1077, F4, 64) (dual of [1077, 822, 65]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
4 | Linear OA(4254, 1071, F4, 64) (dual of [1071, 817, 65]-code) | [i] | ✔ | |
5 | Linear OA(4245, 1060, F4, 63) (dual of [1060, 815, 64]-code) | [i] | ✔ | |
6 | Linear OA(4226, 1033, F4, 60) (dual of [1033, 807, 61]-code) | [i] | ✔ | |
7 | Linear OA(4253, 1070, F4, 64) (dual of [1070, 817, 65]-code) | [i] | ✔ | |
8 | Linear OA(4242, 1054, F4, 63) (dual of [1054, 812, 64]-code) | [i] | ✔ | |
9 | Linear OA(4241, 1051, F4, 63) (dual of [1051, 810, 64]-code) | [i] | ✔ | |
10 | Linear OA(4249, 1061, F4, 64) (dual of [1061, 812, 65]-code) | [i] | ✔ | |
11 | Linear OA(4248, 1055, F4, 64) (dual of [1055, 807, 65]-code) | [i] | ✔ | |
12 | Linear OA(4240, 1045, F4, 63) (dual of [1045, 805, 64]-code) | [i] | ✔ | |
13 | Linear OA(4247, 1049, F4, 64) (dual of [1049, 802, 65]-code) | [i] | ✔ | |
14 | Linear OA(4238, 1040, F4, 63) (dual of [1040, 802, 64]-code) | [i] | ✔ | |
15 | Linear OA(4247, 1049, F4, 65) (dual of [1049, 802, 66]-code) | [i] | ✔ | |
16 | Linear OA(4245, 1047, F4, 64) (dual of [1047, 802, 65]-code) | [i] | ✔ | |
17 | Linear OA(4246, 1046, F4, 65) (dual of [1046, 800, 66]-code) | [i] | ✔ |