Information on Result #1310821
Linear OA(5116, 3164, F5, 28) (dual of [3164, 3048, 29]-code), using 24 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 6 times 0, 1, 14 times 0) based on linear OA(5112, 3136, F5, 28) (dual of [3136, 3024, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
- 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(5101, 3125, F5, 26) (dual of [3125, 3024, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(51, 11, F5, 1) (dual of [11, 10, 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
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(5116, 3164, F5, 2, 28) (dual of [(3164, 2), 6212, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5116, 3164, F5, 3, 28) (dual of [(3164, 3), 9376, 29]-NRT-code) | [i] | ||
| 3 | Digital (88, 116, 3164)-net over F5 | [i] | ||
| 4 | Linear OOA(5116, 1582, F5, 2, 28) (dual of [(1582, 2), 3048, 29]-NRT-code) | [i] | OOA Folding | |