Information on Result #672871
Linear OA(291, 4126, F2, 15) (dual of [4126, 4035, 16]-code), using construction X applied to Ce(14) ⊂ Ce(10) based on
- linear OA(285, 4096, F2, 15) (dual of [4096, 4011, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(261, 4096, F2, 11) (dual of [4096, 4035, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(26, 30, F2, 3) (dual of [30, 24, 4]-code or 30-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(290, 4125, F2, 14) (dual of [4125, 4035, 15]-code) | [i] | Truncation | |
| 2 | Linear OOA(291, 2063, F2, 2, 15) (dual of [(2063, 2), 4035, 16]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(291, 1375, F2, 3, 15) (dual of [(1375, 3), 4034, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(291, 1031, F2, 4, 15) (dual of [(1031, 4), 4033, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(291, 825, F2, 5, 15) (dual of [(825, 5), 4034, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(291, 687, F2, 6, 15) (dual of [(687, 6), 4031, 16]-NRT-code) | [i] | ||
| 7 | Linear OOA(291, 589, F2, 7, 15) (dual of [(589, 7), 4032, 16]-NRT-code) | [i] | ||
| 8 | Linear OOA(291, 589, F2, 8, 15) (dual of [(589, 8), 4621, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 9 | Linear OOA(291, 589, F2, 15, 15) (dual of [(589, 15), 8744, 16]-NRT-code) | [i] | ||