Strength Reduction | 54,057 |

*t*-Expansion | 116,363 |

Strength Reduction for OOAs | 241,698 |

*t*-Expansion for Sequences | 3,452 |

Code Embedding in Larger Space | 45,475 |

NRT-Code Embedding in Larger Space | 55,790 |

Duplication / Taking a Subcode of the Dual Code | 2,171 |

Net Duplication | 26,506 |

OOA Duplication | 142,243 |

Truncation | 187,666 |

Truncation for OOAs | 290,449 |

*m*-Reduction | 177,475 |

*m*-Reduction from Arbitrarily Large Net | 2,406 |

*m*-Reduction for OOAs | 81,267 |

Repeating Each Code Word | 5,188 |

Repeating Each Code Word for NRT-Codes | 12,194 |

Trace Code | 5,643 |

Trace Code for Nets | 20,114 |

Trace Code for OOAs | 4,947 |

Base Expansion for Nets | 0 |

Base Expansion for OOAs | 45 |

Base Expansion for Sequences | 9 |

Base Reduction | 0 |

Base Reduction for Sequences | 306 |

Base Reduction for Projective Spaces | 28 |

Base Reduction for Projective Spaces (for Nets) | 326 |

Discarding Parts of the Base for OAs | 8,378 |

Discarding Parts of the Base for OOAs | 2,162 |

Direct Product of Two Codes | 0 |

Direct Product of Two Nets | 0 |

Direct Product of Two OOAs | 0 |

(*u*, *u*+*v*)-Construction | 11,815 |

(*u*, *u*+*v*)-Construction for Nets | 26,197 |

(*u*, *u*+*v*)-Construction for OOAs | 44,493 |

Generalized (*u*, *u*+*v*)-Construction | 1,005 |

Generalized (*u*, *u*+*v*)-Construction for Nets | 5,177 |

Generalized (*u*, *u*+*v*)-Construction for OOAs | 4,492 |

Juxtaposition | 3,003 |

Juxtaposition for OOAs | 9,064 |

Concatenation of Two Codes | 11,886 |

Concatenation of Two NRT-Codes | 11,500 |

Concatenation of Two Orthogonal Arrays | 0 |

Concatenation of Two OOAs | 0 |

Construction X with Reed–Solomon Codes | 1,337 |

Construction X with Algebraic-Geometric Codes | 17,787 |

Construction X with Algebraic-Geometric NRT-Codes | 67,492 |

Construction XX with a Chain of Algebraic-Geometric Codes | 312 |

Construction X with OOAs from (*t*, *s*)-Sequence | 279 |

Depth Reduction | 170,049 |

Extracting Embedded Orthogonal Array | 5,262 |

Extracting Embedded OOA | 46,782 |

Appending Arbitrary Columns | 7,004 |

Net Defined by OOA | 35,287 |

Embedding of OOA with Gilbert–Varšamov Bound | 82,123 |

Niederreiter–Xing Sequence Construction II/III | 515 |

Niederreiter–Xing Sequence Construction III Using Non-Rational Places | 26 |

Extended Algebraic-Geometric Codes | 8,777 |

Extended Algebraic-Geometric NRT-Codes | 64,023 |

Algebraic-Geometric Codes | 4,583 |

Algebraic-Geometric NRT-Codes | 13,769 |

Algebraic-Geometric Codes with Known Gap Numbers | 19 |

Algebraic-Geometric NRT-Codes with Known Gap Numbers | 32 |

Algebraic-Geometric Codes Defined Using a Non-Rational Place | 399 |

Algebraic-Geometric NRT-Codes Defined Using a Non-Rational Place | 615 |

A Recursive Bound on the Size of Affine Caps by Bierbrauer and Edel | 53 |

Base Reduction for Affine Caps | 3 |

Every Affine Cap Is Also a Projective Cap | 18 |

Doubling a Cap (and Obtaining an Affine Cap) | 11 |

Adding a Parity Check Bit | 1,331 |

Residual Code | 1,828 |

Dual of MDS Code Is Again an MDS Code | 14 |

Dual of a Near-MDS Code Is Again a Near-MDS Code | 13 |

Contraction | 23 |

Contraction (with Narrow-Sense BCH-Code) | 57 |

Contraction (with Expurgated Narrow-Sense BCH-Code) | 63 |

(*u*, *u*−*v*, *u*+*v*+*w*)-Construction | 2,251 |

Construction Y1 (Bound) | 536 |

Construction Y1 | 69 |

Dual Code (with Bound on *d* by Construction Y1) | 6 |

Varšamov–Edel Lengthening | 12,752 |

Removing Affine Subspaces | 38 |

Hill Recurrence | 5 |

Doubling a Cap | 10 |

Product of Projective Cap with (Hyper)oval | 9 |

Product of Projective Cap with *b*^{2}-Ovoid Cap in AG(3, *b*) | 7 |

Product of Projective Cap with Cap in AG(4, *b*) | 9 |

Product of Projective Cap with Cap in AG(5, *b*) | 6 |

Product of Projective Cap with Cap in AG(6, *b*) | 9 |

Product of Two Projective Caps and 2-Cap in AG(1, *b*) | 1 |

Product of Two Projective Caps and (Hyper)oval | 2 |

Product of Two Projective Caps and an Affine Cap Avoiding Two Hyperplanes | 2 |

Construction for [*s*, *s*−6, 6]-Code from [*s*, 3, *s*−3]-Code | 4 |

Construction X with Cyclic Codes | 9,011 |

Construction XX with Cyclic Codes | 16,740 |

Construction XX with a Chain of Cyclic Codes | 788 |

Construction X4 with Cyclic Codes | 155 |

Construction X with Extended Narrow-Sense BCH Codes | 17,255 |

Construction XX with a Chain of Extended Narrow-Sense BCH Codes | 3,895 |

Construction X4 with Extended Narrow-Sense BCH Codes | 424 |

Construction X with De Boer–Brouwer Codes | 201 |

Construction XX with De Boer–Brouwer Codes | 9 |

Construction XX with a Chain of De Boer–Brouwer Codes | 181 |

Construction X with Varšamov Bound | 4,988 |

Construction X with Varšamov–Edel Bound | 19 |

Construction X with Ovoid | 11 |

Construction X with Kerdock and Delsarte–Goethals OAs | 19 |

Construction XX with a Chain of Delsarte–Goethals OAs | 0 |

Construction X4 with Kerdock OAs | 17 |

Standard Lengthening for NRT-Codes | 32 |

Net from Sequence | 81,788 |

OOA from Sequence | 174 |

Logical Equivalence (for Sequences) | 9,548 |

Logical Equivalence (for Nets with Unbounded *m*) | 9,548 |

Base Change | 2,825 |

Appending *k*th Column | 1,251 |

OAs with Strength 3, *b* ≠ 2, and *m* > 3 Are Always Embeddable | 123 |

OOA Folding | 239,077 |

OA Folding and Stacking | 4,852 |

OOA Folding and Stacking with Additional Row | 26,774 |

OOA Stacking with Additional Row | 10,530 |