Information on Result #1012101
Linear OOA(4241, 4194310, F4, 3, 21) (dual of [(4194310, 3), 12582689, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(411, 9, F4, 3, 10) (dual of [(9, 3), 16, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,16P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field over F4 [i]
- extended algebraic-geometric NRT-code AGe(3;F,16P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- linear OOA(4230, 4194301, F4, 3, 21) (dual of [(4194301, 3), 12582673, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(4230, 8388602, F4, 2, 21) (dual of [(8388602, 2), 16776974, 22]-NRT-code), using
- trace code [i] based on linear OOA(16115, 4194301, F16, 2, 21) (dual of [(4194301, 2), 8388487, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(16115, 8388602, F16, 21) (dual of [8388602, 8388487, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(16115, large, F16, 21) (dual of [large, large−115, 22]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 166−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [i]
- discarding factors / shortening the dual code based on linear OA(16115, large, F16, 21) (dual of [large, large−115, 22]-code), using
- OOA 2-folding [i] based on linear OA(16115, 8388602, F16, 21) (dual of [8388602, 8388487, 22]-code), using
- trace code [i] based on linear OOA(16115, 4194301, F16, 2, 21) (dual of [(4194301, 2), 8388487, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(4230, 8388602, F4, 2, 21) (dual of [(8388602, 2), 16776974, 22]-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.