Information on Result #680491
Linear OA(436, 1029, F4, 10) (dual of [1029, 993, 11]-code), using construction X applied to Ce(9) ⊂ Ce(8) based on
- linear OA(436, 1024, F4, 10) (dual of [1024, 988, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(431, 1024, F4, 9) (dual of [1024, 993, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(440, 1050, F4, 10) (dual of [1050, 1010, 11]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(441, 1071, F4, 10) (dual of [1071, 1030, 11]-code) | [i] | ||
| 3 | Linear OA(442, 1111, F4, 10) (dual of [1111, 1069, 11]-code) | [i] | ||
| 4 | Linear OOA(436, 514, F4, 2, 10) (dual of [(514, 2), 992, 11]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(436, 343, F4, 3, 10) (dual of [(343, 3), 993, 11]-NRT-code) | [i] | ||