Information on Result #1377586
Linear OOA(991, 2391502, F9, 2, 14) (dual of [(2391502, 2), 4782913, 15]-NRT-code), using OOA 2-folding based on linear OA(991, 4783004, F9, 14) (dual of [4783004, 4782913, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(991, 4783005, F9, 14) (dual of [4783005, 4782914, 15]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(989, 4783001, F9, 14) (dual of [4783001, 4782912, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(9) [i] based on
- linear OA(985, 4782969, F9, 14) (dual of [4782969, 4782884, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(957, 4782969, F9, 10) (dual of [4782969, 4782912, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(94, 32, F9, 3) (dual of [32, 28, 4]-code or 32-cap in PG(3,9)), using
- construction X applied to Ce(13) ⊂ Ce(9) [i] based on
- linear OA(989, 4783003, F9, 13) (dual of [4783003, 4782914, 14]-code), using Gilbert–Varšamov bound and bm = 989 > Vbs−1(k−1) = 20565 713098 607913 121546 673420 780179 601876 030343 876910 812149 514144 701698 268167 089681 [i]
- linear OA(90, 2, F9, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(989, 4783001, F9, 14) (dual of [4783001, 4782912, 15]-code), using
- construction X with Varšamov bound [i] based on
Mode: 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
None.