Information on Result #684018
Linear OA(5102, 128, F5, 64) (dual of [128, 26, 65]-code), using construction X applied to Ce(63) ⊂ Ce(62) based on
- linear OA(5102, 125, F5, 64) (dual of [125, 23, 65]-code), using an extension Ce(63) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,63], and designed minimum distance d ≥ |I|+1 = 64 [i]
- linear OA(599, 125, F5, 63) (dual of [125, 26, 64]-code), using an extension Ce(62) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(50, 3, F5, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(5111, 139, F5, 64) (dual of [139, 28, 65]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OA(5112, 141, F5, 64) (dual of [141, 29, 65]-code) | [i] | ||
| 3 | Linear OOA(5102, 64, F5, 2, 64) (dual of [(64, 2), 26, 65]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(5102, 42, F5, 3, 64) (dual of [(42, 3), 24, 65]-NRT-code) | [i] | ||