Information on Result #1674575
Linear OOA(2117, 612, F2, 7, 19) (dual of [(612, 7), 4167, 20]-NRT-code), using OOA 2-folding based on linear OOA(2117, 1224, F2, 4, 19) (dual of [(1224, 4), 4779, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2117, 1225, F2, 4, 19) (dual of [(1225, 4), 4783, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2117, 1225, F2, 3, 19) (dual of [(1225, 3), 3558, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2117, 1376, F2, 3, 19) (dual of [(1376, 3), 4011, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2117, 4128, F2, 19) (dual of [4128, 4011, 20]-code), using
- 2 times code embedding in larger space [i] based on linear OA(2115, 4126, F2, 19) (dual of [4126, 4011, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(14) [i] based on
- linear OA(2109, 4096, F2, 19) (dual of [4096, 3987, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(285, 4096, F2, 15) (dual of [4096, 4011, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(26, 30, F2, 3) (dual of [30, 24, 4]-code or 30-cap in PG(5,2)), using
- discarding factors / shortening the dual code based on linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using
- construction X applied to Ce(18) ⊂ Ce(14) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(2115, 4126, F2, 19) (dual of [4126, 4011, 20]-code), using
- OOA 3-folding [i] based on linear OA(2117, 4128, F2, 19) (dual of [4128, 4011, 20]-code), using
- discarding factors / shortening the dual code based on linear OOA(2117, 1376, F2, 3, 19) (dual of [(1376, 3), 4011, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2117, 1225, F2, 3, 19) (dual of [(1225, 3), 3558, 20]-NRT-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.