Information on Result #1300057
Linear OA(4114, 4120, F4, 24) (dual of [4120, 4006, 25]-code), using construction X with Varšamov bound based on
- linear OA(4112, 4117, F4, 24) (dual of [4117, 4005, 25]-code), using
- construction X applied to Ce(24) ⊂ Ce(20) [i] based on
- linear OA(4109, 4096, F4, 25) (dual of [4096, 3987, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(491, 4096, F4, 21) (dual of [4096, 4005, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- construction X applied to Ce(24) ⊂ Ce(20) [i] based on
- linear OA(4112, 4118, F4, 22) (dual of [4118, 4006, 23]-code), using Gilbert–Varšamov bound and bm = 4112 > Vbs−1(k−1) = 1 570196 047098 467513 232780 144078 288743 291293 783449 824963 207144 095744 [i]
- linear OA(41, 2, F4, 1) (dual of [2, 1, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(4114, 2060, F4, 2, 24) (dual of [(2060, 2), 4006, 25]-NRT-code) | [i] | OOA Folding | |