Information on Result #684065
Linear OA(5116, 136, F5, 73) (dual of [136, 20, 74]-code), using construction X applied to Ce(72) ⊂ Ce(67) based on
- linear OA(5111, 125, F5, 73) (dual of [125, 14, 74]-code), using an extension Ce(72) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,72], and designed minimum distance d ≥ |I|+1 = 73 [i]
- linear OA(5105, 125, F5, 68) (dual of [125, 20, 69]-code), using an extension Ce(67) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,67], and designed minimum distance d ≥ |I|+1 = 68 [i]
- linear OA(55, 11, F5, 4) (dual of [11, 6, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(55, 12, F5, 4) (dual of [12, 7, 5]-code), 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 OA(5116, 136, F5, 72) (dual of [136, 20, 73]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(5116, 136, F5, 71) (dual of [136, 20, 72]-code) | [i] | ||
| 3 | Linear OA(5117, 137, F5, 73) (dual of [137, 20, 74]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(5118, 138, F5, 73) (dual of [138, 20, 74]-code) | [i] | ||
| 5 | Linear OA(5115, 135, F5, 72) (dual of [135, 20, 73]-code) | [i] | Truncation | |
| 6 | Linear OA(5114, 134, F5, 71) (dual of [134, 20, 72]-code) | [i] | ||
| 7 | Linear OA(5113, 133, F5, 70) (dual of [133, 20, 71]-code) | [i] | ||
| 8 | Linear OOA(5116, 68, F5, 2, 73) (dual of [(68, 2), 20, 74]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(5116, 45, F5, 3, 73) (dual of [(45, 3), 19, 74]-NRT-code) | [i] | ||