Information on Result #676518
Linear OA(3172, 735, F3, 44) (dual of [735, 563, 45]-code), using construction X applied to Ce(43) ⊂ Ce(42) based on
- linear OA(3172, 729, F3, 44) (dual of [729, 557, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(3166, 729, F3, 43) (dual of [729, 563, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(30, 6, F3, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 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(3174, 749, F3, 44) (dual of [749, 575, 45]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(3175, 763, F3, 44) (dual of [763, 588, 45]-code) | [i] | ||
| 3 | Linear OA(3176, 780, F3, 44) (dual of [780, 604, 45]-code) | [i] | ||
| 4 | Linear OA(3177, 799, F3, 44) (dual of [799, 622, 45]-code) | [i] | ||
| 5 | Linear OA(3178, 819, F3, 44) (dual of [819, 641, 45]-code) | [i] | ||
| 6 | Linear OOA(3172, 367, F3, 2, 44) (dual of [(367, 2), 562, 45]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3172, 245, F3, 3, 44) (dual of [(245, 3), 563, 45]-NRT-code) | [i] | ||
| 8 | Linear OOA(3172, 183, F3, 4, 44) (dual of [(183, 4), 560, 45]-NRT-code) | [i] | ||
| 9 | Linear OOA(3172, 147, F3, 5, 44) (dual of [(147, 5), 563, 45]-NRT-code) | [i] | ||