Information on Result #1492742
Linear OOA(9130, 2391510, F9, 3, 20) (dual of [(2391510, 3), 7174400, 21]-NRT-code), using OOA 2-folding based on linear OOA(9130, 4783020, F9, 2, 20) (dual of [(4783020, 2), 9565910, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9130, 4783021, F9, 2, 20) (dual of [(4783021, 2), 9565912, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9130, 4783021, F9, 20) (dual of [4783021, 4782891, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(12) [i] based on
- linear OA(9120, 4782969, F9, 20) (dual of [4782969, 4782849, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(978, 4782969, F9, 13) (dual of [4782969, 4782891, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(910, 52, F9, 6) (dual of [52, 42, 7]-code), using
- a “Gra†code from Grassl’s database [i]
- construction X applied to Ce(19) ⊂ Ce(12) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9130, 4783021, F9, 20) (dual of [4783021, 4782891, 21]-code), using
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.