Information on Result #683440
Linear OA(583, 627, F5, 27) (dual of [627, 544, 28]-code), using construction X applied to Ce(26) ⊂ Ce(25) based on
- linear OA(583, 625, F5, 27) (dual of [625, 542, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(581, 625, F5, 26) (dual of [625, 544, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(50, 2, F5, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(584, 628, F5, 27) (dual of [628, 544, 28]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(587, 641, F5, 27) (dual of [641, 554, 28]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(588, 655, F5, 27) (dual of [655, 567, 28]-code) | [i] | ||
| 4 | Linear OA(589, 678, F5, 27) (dual of [678, 589, 28]-code) | [i] | ||
| 5 | Linear OA(590, 711, F5, 27) (dual of [711, 621, 28]-code) | [i] | ||
| 6 | Linear OA(591, 752, F5, 27) (dual of [752, 661, 28]-code) | [i] | ||
| 7 | Linear OA(592, 798, F5, 27) (dual of [798, 706, 28]-code) | [i] | ||
| 8 | Linear OA(593, 848, F5, 27) (dual of [848, 755, 28]-code) | [i] | ||
| 9 | Linear OOA(583, 313, F5, 2, 27) (dual of [(313, 2), 543, 28]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(583, 209, F5, 3, 27) (dual of [(209, 3), 544, 28]-NRT-code) | [i] | ||