Information on Result #1439446
Linear OOA(5130, 3029, F5, 2, 32) (dual of [(3029, 2), 5928, 33]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(5130, 3029, F5, 32) (dual of [3029, 2899, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(5130, 3144, F5, 32) (dual of [3144, 3014, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(27) [i] based on
- linear OA(5126, 3125, F5, 32) (dual of [3125, 2999, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(5111, 3125, F5, 28) (dual of [3125, 3014, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(54, 19, F5, 3) (dual of [19, 15, 4]-code or 19-cap in PG(3,5)), using
- construction X applied to Ce(31) ⊂ Ce(27) [i] based on
Mode: 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(5130, 1514, F5, 3, 32) (dual of [(1514, 3), 4412, 33]-NRT-code) | [i] | OOA Folding | |