Information on Result #1310647
Linear OA(576, 749, F5, 22) (dual of [749, 673, 23]-code), using 113 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 4 times 0, 1, 9 times 0, 1, 18 times 0, 1, 31 times 0, 1, 44 times 0) based on linear OA(569, 629, F5, 22) (dual of [629, 560, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(569, 625, F5, 22) (dual of [625, 556, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(565, 625, F5, 21) (dual of [625, 560, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(50, 4, F5, 0) (dual of [4, 4, 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: 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(576, 749, F5, 2, 22) (dual of [(749, 2), 1422, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(576, 749, F5, 3, 22) (dual of [(749, 3), 2171, 23]-NRT-code) | [i] | ||
| 3 | Digital (54, 76, 749)-net over F5 | [i] | ||
| 4 | Linear OOA(576, 374, F5, 2, 22) (dual of [(374, 2), 672, 23]-NRT-code) | [i] | OOA Folding | |