Information on Result #681585
Linear OA(4150, 281, F4, 53) (dual of [281, 131, 54]-code), using construction X applied to Ce(52) ⊂ Ce(44) based on
- linear OA(4139, 256, F4, 53) (dual of [256, 117, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(4125, 256, F4, 45) (dual of [256, 131, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(411, 25, F4, 7) (dual of [25, 14, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(411, 26, F4, 7) (dual of [26, 15, 8]-code), using
- 4 times truncation [i] based on linear OA(415, 30, F4, 11) (dual of [30, 15, 12]-code), using
- extended quadratic residue code Qe(30,4) [i]
- 4 times truncation [i] based on linear OA(415, 30, F4, 11) (dual of [30, 15, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(411, 26, F4, 7) (dual of [26, 15, 8]-code), using
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(4151, 282, F4, 53) (dual of [282, 131, 54]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4149, 280, F4, 52) (dual of [280, 131, 53]-code) | [i] | Truncation | |
| 3 | Linear OOA(4150, 140, F4, 2, 53) (dual of [(140, 2), 130, 54]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4150, 93, F4, 3, 53) (dual of [(93, 3), 129, 54]-NRT-code) | [i] | ||