Information on Result #680467
Linear OA(4126, 1029, F4, 34) (dual of [1029, 903, 35]-code), using construction X applied to Ce(33) ⊂ Ce(32) based on
- linear OA(4126, 1024, F4, 34) (dual of [1024, 898, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(4121, 1024, F4, 33) (dual of [1024, 903, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [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(4129, 1045, F4, 34) (dual of [1045, 916, 35]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(4130, 1067, F4, 34) (dual of [1067, 937, 35]-code) | [i] | ||
| 3 | Linear OA(4131, 1101, F4, 34) (dual of [1101, 970, 35]-code) | [i] | ||
| 4 | Linear OA(4132, 1142, F4, 34) (dual of [1142, 1010, 35]-code) | [i] | ||
| 5 | Linear OA(4133, 1189, F4, 34) (dual of [1189, 1056, 35]-code) | [i] | ||
| 6 | Linear OOA(4126, 514, F4, 2, 34) (dual of [(514, 2), 902, 35]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(4126, 343, F4, 3, 34) (dual of [(343, 3), 903, 35]-NRT-code) | [i] | ||