Information on Result #685058
Linear OA(7109, 2430, F7, 30) (dual of [2430, 2321, 31]-code), using construction XX applied to Ce(29) ⊂ Ce(23) ⊂ Ce(22) based on
- linear OA(7101, 2401, F7, 30) (dual of [2401, 2300, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(781, 2401, F7, 24) (dual of [2401, 2320, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(777, 2401, F7, 23) (dual of [2401, 2324, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(77, 28, F7, 5) (dual of [28, 21, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- linear OA(70, 1, F7, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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(7109, 1215, F7, 2, 30) (dual of [(1215, 2), 2321, 31]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(7109, 810, F7, 3, 30) (dual of [(810, 3), 2321, 31]-NRT-code) | [i] | ||