Information on Result #677898
Linear OA(4188, 4194315, F4, 23) (dual of [4194315, 4194127, 24]-code), using construction X applied to Ce(22) ⊂ Ce(21) based on
- linear OA(4188, 4194304, F4, 23) (dual of [4194304, 4194116, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(4177, 4194304, F4, 22) (dual of [4194304, 4194127, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(40, 11, F4, 0) (dual of [11, 11, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
Mode: Constructive and 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(4188, 2097157, F4, 2, 23) (dual of [(2097157, 2), 4194126, 24]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4188, 1398105, F4, 3, 23) (dual of [(1398105, 3), 4194127, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(4188, 381301, F4, 23, 23) (dual of [(381301, 23), 8769735, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |