Information on Result #1014316
Linear OOA(890, 6640990, F8, 3, 9) (dual of [(6640990, 3), 19922880, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(824, 1048588, F8, 3, 4) (dual of [(1048588, 3), 3145740, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(82, 9, F8, 3, 2) (dual of [(9, 3), 25, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;25,8) [i]
- linear OOA(822, 1048579, F8, 3, 4) (dual of [(1048579, 3), 3145715, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(822, 2097158, F8, 4) (dual of [2097158, 2097136, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(822, 2097159, F8, 4) (dual of [2097159, 2097137, 5]-code), using
- construction X applied to Ce(3) ⊂ Ce(2) [i] based on
- linear OA(822, 2097152, F8, 4) (dual of [2097152, 2097130, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(815, 2097152, F8, 3) (dual of [2097152, 2097137, 4]-code or 2097152-cap in PG(14,8)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(80, 7, F8, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(3) ⊂ Ce(2) [i] based on
- discarding factors / shortening the dual code based on linear OA(822, 2097159, F8, 4) (dual of [2097159, 2097137, 5]-code), using
- OA 2-folding and stacking [i] based on linear OA(822, 2097158, F8, 4) (dual of [2097158, 2097136, 5]-code), using
- linear OOA(82, 9, F8, 3, 2) (dual of [(9, 3), 25, 3]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(866, 5592402, F8, 3, 9) (dual of [(5592402, 3), 16777140, 10]-NRT-code), using
- trace code [i] based on linear OOA(6433, 2796201, F64, 3, 9) (dual of [(2796201, 3), 8388570, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6433, large, F64, 9) (dual of [large, large−33, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(6433, large, F64, 9) (dual of [large, large−33, 10]-code), using
- trace code [i] based on linear OOA(6433, 2796201, F64, 3, 9) (dual of [(2796201, 3), 8388570, 10]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.