Information on Result #682058
Linear OA(458, 88, F4, 26) (dual of [88, 30, 27]-code), using construction X applied to Ce(25) ⊂ Ce(14) based on
- linear OA(444, 64, F4, 26) (dual of [64, 20, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(434, 64, F4, 15) (dual of [64, 30, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(414, 24, F4, 10) (dual of [24, 10, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(414, 29, F4, 10) (dual of [29, 15, 11]-code), using
- 1 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]
- 1 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(414, 29, F4, 10) (dual of [29, 15, 11]-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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(458, 44, F4, 2, 26) (dual of [(44, 2), 30, 27]-NRT-code) | [i] | OOA Folding | |