Information on Result #680487
Linear OA(451, 1029, F4, 14) (dual of [1029, 978, 15]-code), using construction X applied to Ce(13) ⊂ Ce(12) based on
- linear OA(451, 1024, F4, 14) (dual of [1024, 973, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(446, 1024, F4, 13) (dual of [1024, 978, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(40, 5, F4, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(457, 1059, F4, 14) (dual of [1059, 1002, 15]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(458, 1084, F4, 14) (dual of [1084, 1026, 15]-code) | [i] | ||
| 3 | Linear OA(459, 1128, F4, 14) (dual of [1128, 1069, 15]-code) | [i] | ||
| 4 | Linear OA(460, 1198, F4, 14) (dual of [1198, 1138, 15]-code) | [i] | ||
| 5 | Linear OOA(451, 514, F4, 2, 14) (dual of [(514, 2), 977, 15]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(451, 343, F4, 3, 14) (dual of [(343, 3), 978, 15]-NRT-code) | [i] | ||