Information on Result #673566
Linear OA(2251, 274, F2, 107) (dual of [274, 23, 108]-code), using construction X applied to Ce(110) ⊂ Ce(94) based on
- linear OA(2235, 256, F2, 111) (dual of [256, 21, 112]-code), using an extension Ce(110) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,110], and designed minimum distance d ≥ |I|+1 = 111 [i]
- linear OA(2227, 256, F2, 95) (dual of [256, 29, 96]-code), using an extension Ce(94) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,94], and designed minimum distance d ≥ |I|+1 = 95 [i]
- linear OA(216, 18, F2, 11) (dual of [18, 2, 12]-code), using
- repeating each code word 6 times [i] based on linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- repeating each code word 6 times [i] based on linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-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 OA(2251, 274, F2, 106) (dual of [274, 23, 107]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2250, 273, F2, 106) (dual of [273, 23, 107]-code) | [i] | Truncation | |
| 3 | Linear OA(2249, 272, F2, 105) (dual of [272, 23, 106]-code) | [i] | ||
| 4 | Linear OOA(2251, 137, F2, 2, 107) (dual of [(137, 2), 23, 108]-NRT-code) | [i] | OOA Folding | |