Information on Result #707434
Linear OA(4226, 1023, F4, 61) (dual of [1023, 797, 62]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,60], and designed minimum distance d ≥ |I|+1 = 62
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]
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OA(4251, 1092, F4, 61) (dual of [1092, 841, 62]-code) | [i] | ✔ | Construction X with Cyclic Codes |
2 | Linear OA(4252, 1094, F4, 61) (dual of [1094, 842, 62]-code) | [i] | ✔ | |
3 | Linear OA(4251, 1063, F4, 65) (dual of [1063, 812, 66]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
4 | Linear OA(4250, 1060, F4, 65) (dual of [1060, 810, 66]-code) | [i] | ✔ | |
5 | Linear OA(4248, 1058, F4, 64) (dual of [1058, 810, 65]-code) | [i] | ✔ | |
6 | Linear OA(4238, 1040, F4, 63) (dual of [1040, 802, 64]-code) | [i] | ✔ | |
7 | Linear OA(4258, 1070, F4, 66) (dual of [1070, 812, 67]-code) | [i] | ✔ | |
8 | Linear OA(4249, 1056, F4, 65) (dual of [1056, 807, 66]-code) | [i] | ✔ | |
9 | Linear OA(4248, 1053, F4, 65) (dual of [1053, 805, 66]-code) | [i] | ✔ | |
10 | Linear OA(4247, 1049, F4, 65) (dual of [1049, 802, 66]-code) | [i] | ✔ | |
11 | Linear OA(4245, 1047, F4, 64) (dual of [1047, 802, 65]-code) | [i] | ✔ | |
12 | Linear OA(4246, 1046, F4, 65) (dual of [1046, 800, 66]-code) | [i] | ✔ | |
13 | Linear OA(4236, 1033, F4, 63) (dual of [1033, 797, 64]-code) | [i] | ✔ | |
14 | Linear OA(4242, 1039, F4, 64) (dual of [1039, 797, 65]-code) | [i] | ✔ | |
15 | Linear OOA(4226, 341, F4, 3, 61) (dual of [(341, 3), 797, 62]-NRT-code) | [i] | OOA Folding |