Information on Result #678358
Linear OA(4127, 262153, F4, 19) (dual of [262153, 262026, 20]-code), using construction X applied to Ce(18) ⊂ Ce(17) based on
- linear OA(4127, 262144, F4, 19) (dual of [262144, 262017, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(4118, 262144, F4, 18) (dual of [262144, 262026, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(40, 9, F4, 0) (dual of [9, 9, 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(4127, 131076, F4, 2, 19) (dual of [(131076, 2), 262025, 20]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4127, 87384, F4, 3, 19) (dual of [(87384, 3), 262025, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(4127, 29128, F4, 19, 19) (dual of [(29128, 19), 553305, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |