Information on Result #895409
Linear OOA(473, 4194314, F4, 2, 7) (dual of [(4194314, 2), 8388555, 8]-NRT-code), using (u, u+v)-construction based on
- linear OOA(417, 4179650, F4, 2, 3) (dual of [(4179650, 2), 8359283, 4]-NRT-code), using
- OAs with strength 3, b ≠ 2, and m > 3 are always embeddable [i] based on linear OA(417, 4179650, F4, 3) (dual of [4179650, 4179633, 4]-code or 4179650-cap in PG(16,4)), using
- linear OOA(456, 2097157, F4, 2, 7) (dual of [(2097157, 2), 4194258, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(456, 4194314, F4, 7) (dual of [4194314, 4194258, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(456, 4194315, F4, 7) (dual of [4194315, 4194259, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(456, 4194304, F4, 7) (dual of [4194304, 4194248, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(445, 4194304, F4, 6) (dual of [4194304, 4194259, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(40, 11, F4, 0) (dual of [11, 11, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(456, 4194315, F4, 7) (dual of [4194315, 4194259, 8]-code), using
- OOA 2-folding [i] based on linear OA(456, 4194314, F4, 7) (dual of [4194314, 4194258, 8]-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.