Information on Result #684815
Linear OA(7102, 16833, F7, 23) (dual of [16833, 16731, 24]-code), using construction X applied to Ce(22) ⊂ Ce(17) based on
- linear OA(796, 16807, F7, 23) (dual of [16807, 16711, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(776, 16807, F7, 18) (dual of [16807, 16731, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(76, 26, F7, 4) (dual of [26, 20, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-code), using
- 1 times truncation [i] based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-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 OOA(7102, 8416, F7, 2, 23) (dual of [(8416, 2), 16730, 24]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(7102, 5611, F7, 3, 23) (dual of [(5611, 3), 16731, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(7102, 1530, F7, 23, 23) (dual of [(1530, 23), 35088, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |