Information on Result #835419
Linear OOA(514, 64, F5, 2, 6) (dual of [(64, 2), 114, 7]-NRT-code), using OOA 2-folding based on linear OA(514, 128, F5, 6) (dual of [128, 114, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(514, 129, F5, 6) (dual of [129, 115, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(3) [i] based on
- linear OA(513, 125, F5, 6) (dual of [125, 112, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(510, 125, F5, 4) (dual of [125, 115, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(51, 4, F5, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(5) ⊂ Ce(3) [i] based on
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(5105, 4194365, F5, 2, 12) (dual of [(4194365, 2), 8388625, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(5115, 4194365, F5, 2, 13) (dual of [(4194365, 2), 8388615, 14]-NRT-code) | [i] | ||