Information on Result #1848804
OOA(6439, 1048581, S64, 3, 11), using discarding parts of the base based on linear OOA(12833, 1048581, F128, 3, 11) (dual of [(1048581, 3), 3145710, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12833, 1048581, F128, 2, 11) (dual of [(1048581, 2), 2097129, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12833, 2097162, F128, 11) (dual of [2097162, 2097129, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(12833, 2097163, F128, 11) (dual of [2097163, 2097130, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(7) [i] based on
- linear OA(12831, 2097152, F128, 11) (dual of [2097152, 2097121, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(12822, 2097152, F128, 8) (dual of [2097152, 2097130, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(1282, 11, F128, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,128)), using
- discarding factors / shortening the dual code based on linear OA(1282, 128, F128, 2) (dual of [128, 126, 3]-code or 128-arc in PG(1,128)), using
- Reed–Solomon code RS(126,128) [i]
- discarding factors / shortening the dual code based on linear OA(1282, 128, F128, 2) (dual of [128, 126, 3]-code or 128-arc in PG(1,128)), using
- construction X applied to Ce(10) ⊂ Ce(7) [i] based on
- discarding factors / shortening the dual code based on linear OA(12833, 2097163, F128, 11) (dual of [2097163, 2097130, 12]-code), using
- OOA 2-folding [i] based on linear OA(12833, 2097162, F128, 11) (dual of [2097162, 2097129, 12]-code), using
Mode: Arbitrary.
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.