Information on Result #673702
Linear OA(275, 274, F2, 19) (dual of [274, 199, 20]-code), using construction X applied to Ce(18) ⊂ Ce(14) based on
- linear OA(269, 256, F2, 19) (dual of [256, 187, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(257, 256, F2, 15) (dual of [256, 199, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(26, 18, F2, 3) (dual of [18, 12, 4]-code or 18-cap in PG(5,2)), using
- discarding factors / shortening the dual code based on linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), 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 OA(275, 274, F2, 18) (dual of [274, 199, 19]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(276, 275, F2, 19) (dual of [275, 199, 20]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(274, 273, F2, 18) (dual of [273, 199, 19]-code) | [i] | Truncation | |
| 4 | Linear OOA(275, 137, F2, 2, 19) (dual of [(137, 2), 199, 20]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(275, 91, F2, 3, 19) (dual of [(91, 3), 198, 20]-NRT-code) | [i] | ||