Information on Result #680443
Linear OA(4216, 1029, F4, 58) (dual of [1029, 813, 59]-code), using construction X applied to Ce(57) ⊂ Ce(56) based on
- linear OA(4216, 1024, F4, 58) (dual of [1024, 808, 59]-code), using an extension Ce(57) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,57], and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(4211, 1024, F4, 57) (dual of [1024, 813, 58]-code), using an extension Ce(56) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,56], and designed minimum distance d ≥ |I|+1 = 57 [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 OOA(4216, 514, F4, 2, 58) (dual of [(514, 2), 812, 59]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4216, 343, F4, 3, 58) (dual of [(343, 3), 813, 59]-NRT-code) | [i] | ||