Information on Result #684934
Linear OA(7101, 2405, F7, 30) (dual of [2405, 2304, 31]-code), using construction X applied to Ce(29) ⊂ Ce(28) 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(797, 2401, F7, 29) (dual of [2401, 2304, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(70, 4, F7, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(7102, 2406, F7, 30) (dual of [2406, 2304, 31]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(7103, 2410, F7, 30) (dual of [2410, 2307, 31]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(7104, 2420, F7, 30) (dual of [2420, 2316, 31]-code) | [i] | ||
| 4 | Linear OA(7105, 2445, F7, 30) (dual of [2445, 2340, 31]-code) | [i] | ||
| 5 | Linear OA(7106, 2500, F7, 30) (dual of [2500, 2394, 31]-code) | [i] | ||
| 6 | Linear OA(7107, 2604, F7, 30) (dual of [2604, 2497, 31]-code) | [i] | ||
| 7 | Linear OA(7108, 2755, F7, 30) (dual of [2755, 2647, 31]-code) | [i] | ||
| 8 | Linear OA(7109, 2937, F7, 30) (dual of [2937, 2828, 31]-code) | [i] | ||
| 9 | Linear OA(7110, 3138, F7, 30) (dual of [3138, 3028, 31]-code) | [i] | ||
| 10 | Linear OOA(7101, 1202, F7, 2, 30) (dual of [(1202, 2), 2303, 31]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(7101, 801, F7, 3, 30) (dual of [(801, 3), 2302, 31]-NRT-code) | [i] | ||