Information on Result #1492812
Linear OOA(9131, 1675412, F9, 3, 21) (dual of [(1675412, 3), 5026105, 22]-NRT-code), using OOA 2-folding based on linear OOA(9131, 3350824, F9, 2, 21) (dual of [(3350824, 2), 6701517, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9131, 3350825, F9, 2, 21) (dual of [(3350825, 2), 6701519, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9131, 3350825, F9, 21) (dual of [3350825, 3350694, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(9131, 4782994, F9, 21) (dual of [4782994, 4782863, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(16) [i] based on
- linear OA(9127, 4782969, F9, 21) (dual of [4782969, 4782842, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(9106, 4782969, F9, 17) (dual of [4782969, 4782863, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(94, 25, F9, 3) (dual of [25, 21, 4]-code or 25-cap in PG(3,9)), using
- construction X applied to Ce(20) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(9131, 4782994, F9, 21) (dual of [4782994, 4782863, 22]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9131, 3350825, F9, 21) (dual of [3350825, 3350694, 22]-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.