Information on Result #1544942
Linear OOA(4241, 139678, F4, 3, 34) (dual of [(139678, 3), 418793, 35]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4241, 139678, F4, 34) (dual of [139678, 139437, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(4241, 262204, F4, 34) (dual of [262204, 261963, 35]-code), using
- 2 times code embedding in larger space [i] based on linear OA(4239, 262202, F4, 34) (dual of [262202, 261963, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(26) [i] based on
- linear OA(4226, 262144, F4, 34) (dual of [262144, 261918, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(4181, 262144, F4, 27) (dual of [262144, 261963, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(413, 58, F4, 6) (dual of [58, 45, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(413, 63, F4, 6) (dual of [63, 50, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(413, 63, F4, 6) (dual of [63, 50, 7]-code), using
- construction X applied to Ce(33) ⊂ Ce(26) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(4239, 262202, F4, 34) (dual of [262202, 261963, 35]-code), 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(4241, 23279, F4, 39, 34) (dual of [(23279, 39), 907640, 35]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |