Information on Result #1428644
Linear OOA(4201, 55202, F4, 2, 31) (dual of [(55202, 2), 110203, 32]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4201, 55202, F4, 31) (dual of [55202, 55001, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(4201, 65600, F4, 31) (dual of [65600, 65399, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(22) [i] based on
- linear OA(4185, 65536, F4, 31) (dual of [65536, 65351, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(4137, 65536, F4, 23) (dual of [65536, 65399, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(30) ⊂ Ce(22) [i] based on
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(4201, 27601, F4, 3, 31) (dual of [(27601, 3), 82602, 32]-NRT-code) | [i] | OOA Folding | |