Information on Result #1426944
Linear OOA(4185, 64086, F4, 2, 28) (dual of [(64086, 2), 127987, 29]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4185, 64086, F4, 28) (dual of [64086, 63901, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(4185, 65600, F4, 28) (dual of [65600, 65415, 29]-code), using
- strength reduction [i] based on linear OA(4185, 65600, F4, 29) (dual of [65600, 65415, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(20) [i] based on
- linear OA(4169, 65536, F4, 29) (dual of [65536, 65367, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(4121, 65536, F4, 21) (dual of [65536, 65415, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(416, 64, F4, 7) (dual of [64, 48, 8]-code), using
- an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- construction X applied to Ce(28) ⊂ Ce(20) [i] based on
- strength reduction [i] based on linear OA(4185, 65600, F4, 29) (dual of [65600, 65415, 30]-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(4185, 32043, F4, 3, 28) (dual of [(32043, 3), 95944, 29]-NRT-code) | [i] | OOA Folding | |