Information on Result #1151194
Linear OOA(2122, 4683, F2, 7, 17) (dual of [(4683, 7), 32659, 18]-NRT-code), using OOA 7-folding based on linear OA(2122, 32781, F2, 17) (dual of [32781, 32659, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2122, 32784, F2, 17) (dual of [32784, 32662, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(14) [i] based on
- linear OA(2121, 32768, F2, 17) (dual of [32768, 32647, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(2106, 32768, F2, 15) (dual of [32768, 32662, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(21, 16, F2, 1) (dual of [16, 15, 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
- construction X applied to Ce(16) ⊂ Ce(14) [i] based on
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(2122, 4683, F2, 7, 16) (dual of [(4683, 7), 32659, 17]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2123, 4683, F2, 7, 17) (dual of [(4683, 7), 32658, 18]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2124, 4683, F2, 7, 17) (dual of [(4683, 7), 32657, 18]-NRT-code) | [i] | ||