Information on Result #1542547
Linear OOA(4215, 45268, F4, 3, 34) (dual of [(45268, 3), 135589, 35]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4215, 45268, F4, 34) (dual of [45268, 45053, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(4215, 65590, F4, 34) (dual of [65590, 65375, 35]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4214, 65589, F4, 34) (dual of [65589, 65375, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(26) [i] based on
- linear OA(4201, 65536, F4, 34) (dual of [65536, 65335, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(4161, 65536, F4, 27) (dual of [65536, 65375, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(413, 53, F4, 6) (dual of [53, 40, 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
- 1 times code embedding in larger space [i] based on linear OA(4214, 65589, F4, 34) (dual of [65589, 65375, 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(4215, 7544, F4, 39, 34) (dual of [(7544, 39), 294001, 35]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |