Information on Result #731015
Linear OA(720, 235304, F7, 4) (dual of [235304, 235284, 5]-code), using trace code based on linear OA(4910, 117652, F49, 4) (dual of [117652, 117642, 5]-code), using
- construction X applied to Ce(3) ⊂ Ce(2) [i] based on
- linear OA(4910, 117649, F49, 4) (dual of [117649, 117639, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(497, 117649, F49, 3) (dual of [117649, 117642, 4]-code or 117649-cap in PG(6,49)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(490, 3, F49, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 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(721, 235305, F7, 4) (dual of [235305, 235284, 5]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(720, 235304, F7, 2, 4) (dual of [(235304, 2), 470588, 5]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(720, 235304, F7, 3, 4) (dual of [(235304, 3), 705892, 5]-NRT-code) | [i] | ||
| 4 | Linear OOA(720, 117652, F7, 2, 4) (dual of [(117652, 2), 235284, 5]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(720, 117652, F7, 3, 4) (dual of [(117652, 3), 352936, 5]-NRT-code) | [i] | OA Folding and Stacking | |