Information on Result #682085
Linear OA(460, 94, F4, 26) (dual of [94, 34, 27]-code), using construction XX applied to Ce(25) ⊂ Ce(13) ⊂ Ce(12) 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(431, 64, F4, 14) (dual of [64, 33, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(428, 64, F4, 13) (dual of [64, 36, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(415, 29, F4, 11) (dual of [29, 14, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(415, 30, F4, 11) (dual of [30, 15, 12]-code), using
- extended quadratic residue code Qe(30,4) [i]
- discarding factors / shortening the dual code based on linear OA(415, 30, F4, 11) (dual of [30, 15, 12]-code), using
- linear OA(40, 1, F4, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [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.
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(460, 47, F4, 2, 26) (dual of [(47, 2), 34, 27]-NRT-code) | [i] | OOA Folding | |