Information on Result #682294
Linear OA(5150, 390654, F5, 23) (dual of [390654, 390504, 24]-code), using construction X applied to Ce(22) ⊂ Ce(18) based on
- linear OA(5145, 390625, F5, 23) (dual of [390625, 390480, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(5121, 390625, F5, 19) (dual of [390625, 390504, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(55, 29, F5, 3) (dual of [29, 24, 4]-code or 29-cap in PG(4,5)), using
- discarding factors / shortening the dual code based on linear OA(55, 42, F5, 3) (dual of [42, 37, 4]-code or 42-cap in PG(4,5)), 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(5150, 197587, F5, 2, 23) (dual of [(197587, 2), 395024, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5150, 197587, F5, 3, 23) (dual of [(197587, 3), 592611, 24]-NRT-code) | [i] | ||
| 3 | Digital (127, 150, 197587)-net over F5 | [i] | ||
| 4 | Linear OOA(5150, 195327, F5, 2, 23) (dual of [(195327, 2), 390504, 24]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(5150, 130218, F5, 3, 23) (dual of [(130218, 3), 390504, 24]-NRT-code) | [i] | ||