Information on Result #684237
Linear OA(5116, 144, F5, 64) (dual of [144, 28, 65]-code), using construction XX applied to Ce(63) ⊂ Ce(61) ⊂ Ce(48) 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(598, 125, F5, 62) (dual of [125, 27, 63]-code), using an extension Ce(61) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,61], and designed minimum distance d ≥ |I|+1 = 62 [i]
- linear OA(595, 125, F5, 49) (dual of [125, 30, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(51, 6, F5, 1) (dual of [6, 5, 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
- linear OA(512, 13, F5, 12) (dual of [13, 1, 13]-code or 13-arc in PG(11,5)), using
- dual of repetition code with length 13 [i]
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(5117, 145, F5, 64) (dual of [145, 28, 65]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(5116, 72, F5, 2, 64) (dual of [(72, 2), 28, 65]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(5116, 48, F5, 3, 64) (dual of [(48, 3), 28, 65]-NRT-code) | [i] | ||