Information on Result #679090
Linear OA(4109, 16401, F4, 21) (dual of [16401, 16292, 22]-code), using construction X applied to Ce(20) ⊂ Ce(17) based on
- linear OA(4106, 16384, F4, 21) (dual of [16384, 16278, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(492, 16384, F4, 18) (dual of [16384, 16292, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(43, 17, F4, 2) (dual of [17, 14, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), 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(4109, 8200, F4, 2, 21) (dual of [(8200, 2), 16291, 22]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4109, 5467, F4, 3, 21) (dual of [(5467, 3), 16292, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(4109, 1640, F4, 21, 21) (dual of [(1640, 21), 34331, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |