Information on Result #1849305
OOA(12838, 21743, S128, 4, 16), using discarding parts of the base based on linear OOA(25633, 21743, F256, 4, 16) (dual of [(21743, 4), 86939, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25633, 21743, F256, 3, 16) (dual of [(21743, 3), 65196, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25633, 21848, F256, 3, 16) (dual of [(21848, 3), 65511, 17]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25633, 65544, F256, 16) (dual of [65544, 65511, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(12) [i] based on
- linear OA(25631, 65536, F256, 16) (dual of [65536, 65505, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(25625, 65536, F256, 13) (dual of [65536, 65511, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(2562, 8, F256, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,256)), using
- discarding factors / shortening the dual code based on linear OA(2562, 256, F256, 2) (dual of [256, 254, 3]-code or 256-arc in PG(1,256)), using
- Reed–Solomon code RS(254,256) [i]
- discarding factors / shortening the dual code based on linear OA(2562, 256, F256, 2) (dual of [256, 254, 3]-code or 256-arc in PG(1,256)), using
- construction X applied to Ce(15) ⊂ Ce(12) [i] based on
- OOA 3-folding [i] based on linear OA(25633, 65544, F256, 16) (dual of [65544, 65511, 17]-code), using
- discarding factors / shortening the dual code based on linear OOA(25633, 21848, F256, 3, 16) (dual of [(21848, 3), 65511, 17]-NRT-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.