Information on Result #672865
Linear OA(2235, 4126, F2, 39) (dual of [4126, 3891, 40]-code), using construction X applied to Ce(38) ⊂ Ce(34) based on
- linear OA(2229, 4096, F2, 39) (dual of [4096, 3867, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(2205, 4096, F2, 35) (dual of [4096, 3891, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [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(2235, 4126, F2, 38) (dual of [4126, 3891, 39]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2236, 4127, F2, 39) (dual of [4127, 3891, 40]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2237, 4128, F2, 39) (dual of [4128, 3891, 40]-code) | [i] | ||
| 4 | Linear OA(2238, 4129, F2, 39) (dual of [4129, 3891, 40]-code) | [i] | ||
| 5 | Linear OA(2239, 4130, F2, 39) (dual of [4130, 3891, 40]-code) | [i] | ||
| 6 | Linear OA(2240, 4131, F2, 39) (dual of [4131, 3891, 40]-code) | [i] | ||
| 7 | Linear OA(2234, 4125, F2, 38) (dual of [4125, 3891, 39]-code) | [i] | Truncation | |
| 8 | Linear OOA(2235, 2063, F2, 2, 39) (dual of [(2063, 2), 3891, 40]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(2235, 1375, F2, 3, 39) (dual of [(1375, 3), 3890, 40]-NRT-code) | [i] | ||
| 10 | Linear OOA(2235, 1031, F2, 4, 39) (dual of [(1031, 4), 3889, 40]-NRT-code) | [i] | ||
| 11 | Linear OOA(2235, 825, F2, 5, 39) (dual of [(825, 5), 3890, 40]-NRT-code) | [i] | ||
| 12 | Linear OOA(2235, 687, F2, 6, 39) (dual of [(687, 6), 3887, 40]-NRT-code) | [i] | ||
| 13 | Linear OOA(2235, 589, F2, 7, 39) (dual of [(589, 7), 3888, 40]-NRT-code) | [i] | ||
| 14 | Linear OOA(2235, 515, F2, 8, 39) (dual of [(515, 8), 3885, 40]-NRT-code) | [i] | ||