Information on Result #685599
Linear OA(7110, 173, F7, 58) (dual of [173, 63, 59]-code), using construction X applied to Ce(57) ⊂ Ce(56) based on
- linear OA(7110, 172, F7, 58) (dual of [172, 62, 59]-code), using an extension Ce(57) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,57], and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(7109, 172, F7, 57) (dual of [172, 63, 58]-code), using an extension Ce(56) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,56], and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(70, 1, F7, 0) (dual of [1, 1, 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(7110, 173, F7, 57) (dual of [173, 63, 58]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(7110, 173, F7, 56) (dual of [173, 63, 57]-code) | [i] | ||
| 3 | Linear OA(7110, 173, F7, 55) (dual of [173, 63, 56]-code) | [i] | ||
| 4 | Linear OA(7110, 173, F7, 54) (dual of [173, 63, 55]-code) | [i] | ||
| 5 | Linear OA(7110, 173, F7, 53) (dual of [173, 63, 54]-code) | [i] | ||
| 6 | Linear OA(7110, 173, F7, 52) (dual of [173, 63, 53]-code) | [i] | ||
| 7 | Linear OA(7110, 173, F7, 51) (dual of [173, 63, 52]-code) | [i] | ||
| 8 | Linear OA(7108, 171, F7, 56) (dual of [171, 63, 57]-code) | [i] | Truncation | |
| 9 | Linear OA(7107, 170, F7, 55) (dual of [170, 63, 56]-code) | [i] | ||
| 10 | Linear OA(7106, 169, F7, 54) (dual of [169, 63, 55]-code) | [i] | ||
| 11 | Linear OA(7105, 168, F7, 53) (dual of [168, 63, 54]-code) | [i] | ||
| 12 | Linear OA(7104, 167, F7, 52) (dual of [167, 63, 53]-code) | [i] | ||
| 13 | Linear OA(7103, 166, F7, 51) (dual of [166, 63, 52]-code) | [i] | ||
| 14 | Linear OA(7102, 165, F7, 50) (dual of [165, 63, 51]-code) | [i] | ||
| 15 | Linear OA(7101, 164, F7, 49) (dual of [164, 63, 50]-code) | [i] | ||
| 16 | Linear OA(7100, 163, F7, 48) (dual of [163, 63, 49]-code) | [i] | ||
| 17 | Linear OA(799, 162, F7, 47) (dual of [162, 63, 48]-code) | [i] | ||
| 18 | Linear OA(798, 161, F7, 46) (dual of [161, 63, 47]-code) | [i] | ||
| 19 | Linear OA(797, 160, F7, 45) (dual of [160, 63, 46]-code) | [i] | ||
| 20 | Linear OA(796, 159, F7, 44) (dual of [159, 63, 45]-code) | [i] | ||