Information on Result #737917
Linear OA(9145, 531495, F9, 25) (dual of [531495, 531350, 26]-code), using construction X applied to Ce(24) ⊂ Ce(16) based on
- linear OA(9133, 531441, F9, 25) (dual of [531441, 531308, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(991, 531441, F9, 17) (dual of [531441, 531350, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(912, 54, F9, 7) (dual of [54, 42, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(912, 67, F9, 7) (dual of [67, 55, 8]-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 OOA(9145, 265747, F9, 2, 25) (dual of [(265747, 2), 531349, 26]-NRT-code) | [i] | OOA Folding | |
2 | Linear OOA(9145, 177165, F9, 3, 25) (dual of [(177165, 3), 531350, 26]-NRT-code) | [i] | ||
3 | Linear OOA(9145, 44291, F9, 25, 25) (dual of [(44291, 25), 1107130, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row |