Information on Result #689464
Linear OA(972, 59080, F9, 15) (dual of [59080, 59008, 16]-code), using construction X applied to Ce(14) ⊂ Ce(9) based on
- linear OA(966, 59049, F9, 15) (dual of [59049, 58983, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(941, 59049, F9, 10) (dual of [59049, 59008, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(96, 31, F9, 4) (dual of [31, 25, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 72, F9, 4) (dual of [72, 66, 5]-code), using
- 1 times truncation [i] based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 72, F9, 4) (dual of [72, 66, 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 OA(973, 59081, F9, 15) (dual of [59081, 59008, 16]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(974, 59082, F9, 15) (dual of [59082, 59008, 16]-code) | [i] | ||
| 3 | Linear OA(975, 59083, F9, 15) (dual of [59083, 59008, 16]-code) | [i] | ||
| 4 | Linear OOA(972, 29540, F9, 2, 15) (dual of [(29540, 2), 59008, 16]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(972, 19693, F9, 3, 15) (dual of [(19693, 3), 59007, 16]-NRT-code) | [i] | ||