Information on Result #680003
Linear OA(488, 4130, F4, 18) (dual of [4130, 4042, 19]-code), using construction XX applied to Ce(17) ⊂ Ce(12) ⊂ Ce(10) based on
- linear OA(479, 4096, F4, 18) (dual of [4096, 4017, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(455, 4096, F4, 13) (dual of [4096, 4041, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(449, 4096, F4, 11) (dual of [4096, 4047, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(47, 32, F4, 4) (dual of [32, 25, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- linear OA(41, 2, F4, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [i]
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(489, 4131, F4, 18) (dual of [4131, 4042, 19]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(490, 4132, F4, 18) (dual of [4132, 4042, 19]-code) | [i] | ||
| 3 | Linear OOA(488, 2065, F4, 2, 18) (dual of [(2065, 2), 4042, 19]-NRT-code) | [i] | OOA Folding | |